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A205505
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Fibonacci(n*(n+1)) / Fibonacci(n).
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1
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1, 8, 72, 2255, 166408, 33489287, 17373187209, 23735905327584, 84707858657965180, 792123204706451722511, 19386236394149894806708656, 1242293991563772001787883943693, 208405704482555536994509895576090977, 91533085042008706066658193727853843719640
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = [x^n] 1/(1 - Lucas(n)*x + (-1)^n*x^2), where Lucas(n) = A000204(n).
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MATHEMATICA
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Table[Fibonacci[n(n+1)]/Fibonacci[n], {n, 20}] (* Harvey P. Dale, Mar 30 2012 *)
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PROG
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(PARI) {a(n)=fibonacci(n*(n+1))/fibonacci(n)}
(PARI) {Lucas(n)=fibonacci(n-1)+fibonacci(n+1)}
{a(n)=polcoeff(1/(1-Lucas(n)*x+(-1)^n*x^2+x*O(x^n)), n)}
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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