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A119693
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a(n) = binomial(2*n,n) * Fibonacci(n)/2.
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1
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0, 1, 3, 20, 105, 630, 3696, 22308, 135135, 826540, 5080790, 31391724, 194699232, 1211669900, 7561979100, 47310843600, 296633172465, 1863384566670, 11725074807600, 73889273973900, 466265883733650, 2945885346810120, 18632848373222460, 117972712180416600
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OFFSET
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0,3
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LINKS
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FORMULA
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Sum_{n>=0} a(n)/8^n = 1/sqrt(10). - Amiram Eldar, May 04 2023
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MAPLE
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seq(binomial(2*n, n)*combinat[fibonacci](n)/2, n=0..27);
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MATHEMATICA
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a[n_] := Binomial[2*n, n] * Fibonacci[n] / 2; Array[a, 30, 0] (* Amiram Eldar, May 04 2023 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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