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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 Cf. A103624, A051294, A028412. Sequence in context: A242597 A241032 A001799 * A058068 A096873 A282786 Adjacent sequences:  A205502 A205503 A205504 * A205506 A205507 A205508 KEYWORD nonn,easy AUTHOR Paul D. Hanna, Jan 28 2012 STATUS approved

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Last modified September 30 05:03 EDT 2020. Contains 337435 sequences. (Running on oeis4.)