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A205505 Fibonacci(n*(n+1)) / Fibonacci(n). 1
1, 8, 72, 2255, 166408, 33489287, 17373187209, 23735905327584, 84707858657965180, 792123204706451722511, 19386236394149894806708656, 1242293991563772001787883943693, 208405704482555536994509895576090977, 91533085042008706066658193727853843719640 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(n) = [x^n] 1/(1 - Lucas(n)*x + (-1)^n*x^2), where Lucas(n) = A000204(n).
Forms a diagonal in table A028412.
MATHEMATICA
Table[Fibonacci[n(n+1)]/Fibonacci[n], {n, 20}] (* Harvey P. Dale, Mar 30 2012 *)
PROG
(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)}
CROSSREFS
Sequence in context: A339469 A241032 A001799 * A058068 A096873 A282786
KEYWORD
nonn,easy
AUTHOR
Paul D. Hanna, Jan 28 2012
STATUS
approved

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)