A020536 a(n) = 10th Fibonacci polynomial evaluated at 2^n.

55, 2378, 416020, 151693352, 70889062480, 35459955294368, 18049605435392320, 9227876358078595712, 4722942966712028366080, 2417925426944427685841408, 1237949484041989933708088320, 633826509040690920286723254272, 324518708400955848808661516308480

Offset

0,1

Links

Colin Barker, Table of n, a(n) for n = 0..368

Index entries for linear recurrences with constant coefficients, signature (682,-92752,2968064,-22347776,33554432).

Formula

G.f.: -(191954944*x^4-74711552*x^3+3895584*x^2-35132*x+55) / ((2*x-1)*(8*x-1)*(32*x-1)*(128*x-1)*(512*x-1)). - Colin Barker, May 03 2015

Maple

with(combinat, fibonacci):seq(fibonacci(10, 2^i), i=0..24);

Mathematica

Table[Fibonacci[10, 2^i], {i, 0, 30}] (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

Prog

(PARI) Vec(-(191954944*x^4-74711552*x^3+3895584*x^2-35132*x+55) / ((2*x-1)*(8*x-1)*(32*x-1)*(128*x-1)*(512*x-1)) + O(x^100)) \\ Colin Barker, May 03 2015

Crossrefs

Sequence in context: A053113 A012048 A215860 * A212788 A131557 A231853

Adjacent sequences: A020533 A020534 A020535 * A020537 A020538 A020539

Keyword

nonn,easy

Author

Simon Plouffe

Status

approved