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@Fibonacci_fun

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Erdős number 3. I will mainly post my results. Formulas for viewing. F(n),L(n)＝ #Fibonacci , #Lucas number. I will block followers from locked accounts.

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Joined July 2023
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@Fibonacci_fun
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@Fibonacci_fun
2 days
a Ramanujan type nested radical (Fibonacci Quart. Problem H-848) #Ramanujan
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@Fibonacci_fun
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1 month
Please teach me.
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3 months
This is my solution. (from my article「パスカルの三角形のある領域における逆数和」suken tsushin(2006) )
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This is my solution!
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This is my solution!
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a proof of the inequality in Problem B-1266.
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24 days
Two mysterious limits! 根号の中をすべて０に近づけているのに, 何故か0にならない奇妙な結果. しかし, これらは私のお気に入り!
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3 months
誰か証明して!
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This is my solution. (similar to the solution of @xi_x )
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The proof (Fibonacci Quart. Problem B-1220).
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Fibonacci Quart. Problem B-1141.
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This is my solution! (This problem is "B-1157")
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This is my solution. (from my problem "Fibonacci Quart. Problem B-1136")
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10 days
This is my solution!
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2 months
This is my solution! (my problem "Fibonacci Quart. Problem B-1320")
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Fibonacci Quart. Problem H-788. For any c>0, we have
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This is my solution. (my problem "Fibonacci Quart. Problem H-715(1)")
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16 days
Someone solve the following problem!! ( I don't read hard-to-read formats or hard-to-understand solutions)
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2 months
Someone prove it !! (I don't read hard-to-read formats or hard-to-understand proofs)
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1 month
@Leonard35221185 ChatGPT is not very useful.
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3 months
Someone prove it ! I want the simplest possible proof. (I don't read hard-to-read formats or hard-to-understand proofs)
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AMM monthly problem 3802 and 12396.
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AMM monthly problem 11967.
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Fibonacci Quart. Problem B-1115.
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「平方数・立方数の逆数和についてのある関係式」Sugaku Seminar (March 2010)
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2 months
I found the following binomial identities 10 years ago. I already posted proof of the former. We can prove the latter in the same way as the former.
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Fibonacci Quart. Problem B-1200.
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Fibonacci Quart. Problem H-753.
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Fibonacci Quart. Problem B-1266.
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2 months
my favorite known inequality and its interesting proof.
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Fibonacci Quart. Problem B-1164.
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ON THE SUM OF RECIPROCAL FIBONACCI NUMBERS (2009), by S.N. and H.O.
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This is my solution!
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THE PROOF "A NEW FORMULA FOR THE SUM OF THE SIXTH POWERS OF FIBONACCI NUMBERS (2010)"
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Someone solve the following problem!! ( I don't read hard-to-read formats or hard-to-understand solutions)
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Fibonacci Quart. Problem H-749 and H-867.
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Fibonacci Quart. Problem H-809+.
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Fibonacci Quart. Problem B-1180. Here, φ is the golden ratio and i=√(-1).
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Fibonacci Quart. Problem B-1282.
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Generalization of problem H-804. Here, φ is the golden ratio.
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Fibonacci Quart. Problem B-1332.
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Fibonacci Quart. Problem B-1324.
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Fibonacci Quart. Problem B-1220. Here, φ is golden ratio.
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Mathematics Magazine Quickies 1105. The Tribonacci number T(n) defined by T(0)=0, T(1)=T(2)=1 and T(n+3)=T(n+2)+T(n+1)+T(n) for n≧0.
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ON THE SUM OF RECIPROCAL FIBONACCI NUMBERS (2009), by S.N. and H.O.
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Fibonacci Quart. Problem B-1147.
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図をかくとぎりぎり成り立ちそうなのがわかる.
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AMM monthly problem 12337.
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AMM monthly problem 11956.
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Fibonacci Quart. Problem B-1217.
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Fibonacci Quart. Problem H-757.
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AMM Problem 11978.
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Someone find it !! (I don't read hard-to-read formats or hard-to-understand solutions)
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3 months
誰か証明して!! (今度は簡単!)
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Fibonacci Quart. Problem B-1321.
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Fibonacci Quart. Problem H-795.
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Fibonacci Quart. Problem B-1165.
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Fibonacci Quart. Problem B-1211.
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Fibonacci Quart. Problem H-791.
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Fibonacci Quart. Problem H-812.
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Fibonacci Quart. Problem H-766.
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Fibonacci Quart. Problem B-1214.
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Fibonacci Quart. Problem H-804. Here, φ is the golden ratio.
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Fibonacci Quart. Problem H-776(ii). Here, φ is the golden ratio.
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Fibonacci Quart. Problem H-787. Here, φ is the golden ratio.
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Someone solve the following problem!! ( I don't read hard-to-read formats or hard-to-understand solutions)
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Fibonacci Quart. Problem H-694.
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Fibonacci Quart. Problem H-870.
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Fibonacci Quart. Problem B-1181 and B-1276.
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Fibonacci Quart. Problem H-734(i).
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Fibonacci Quart. Problem B-1316.
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Fibonacci Quart. Problem B-1203(i).
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Fibonacci Quart. Problem H-802.
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Someone solve the following problem!! ( I don't read hard-to-read formats or hard-to-understand solutions)
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11 days
For more details, please refer to the link below. Fibonomial coefficient
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Fibonacci Quart. Problem B-1174 and Problem H-783(iii).
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Someone solve the following problem!! ( I don't read hard-to-read formats or hard-to-understand solutions)
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Fibonacci Quart. Problem H-842.
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Fibonacci Quart. Problem H-689.
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Someone solve the following problem!! ( I don't read hard-to-read formats or hard-to-understand solutions)
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Fibonacci Quart. Problem H-849.
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2 months
Someone solve the following problem!! ( I don't read hard-to-read formats or hard-to-understand solutions)
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Fibonacci Quart. Problem H-778.
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Fibonacci Quart. Problem B-1191.
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Fibonacci Quart. Problem B-1249. Here, φ is the golden ratio. For positive integers s and t, we have
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Fibonacci Quart. Problem B-1209. The Tribonacci number T(n) defined by T(0)=0, T(1)=T(2)=1 and T(n+3)=T(n+2)+T(n+1)+T(n) for n≧0.
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Fibonacci Quart. Problem B-1148,1155(ii),1166.
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Fibonacci Quart. Problem H-830.
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I made a mistake and deleted the problem. I am reposting it.
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Fibonacci Quart. Problem B-1242.
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Fibonacci Quart. Problem H-713.
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The Tribonacci number T(n) defined by T(0)=0, T(1)=T(2)=1 and T(n+3)=T(n+2)+T(n+1)+T(n) for n≧0.
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Fibonacci Quart. Problem H-894.
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Fibonacci Quart. Problem B-1285. Let i=√(-1).
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Fibonacci Quart. Problem B-1150.
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Fibonacci Quart. Problem H-742.
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Fibonacci Quart. Problem B-1077.
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Fibonacci Quart. Problem H-780.
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Fibonacci Quart. Problem B-1103.
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