A020534 a(n) = 8th Fibonacci polynomial evaluated at 2^n.

21, 408, 23184, 2298912, 274767936, 34561392768, 4404491583744, 563156132823552, 72064191275467776, 9223583144429488128, 1180598376127589781504, 151115943624696659976192, 19342820031363781631164416, 2475880299931694931871039488

Offset

0,1

Links

Colin Barker, Table of n, a(n) for n = 0..474

Index entries for linear recurrences with constant coefficients, signature (170,-5712,43520,-65536).

Formula

G.f.: -3*(75264*x^3-24592*x^2+1054*x-7) / ((2*x-1)*(8*x-1)*(32*x-1)*(128*x-1)). - Colin Barker, May 03 2015

Maple

with(combinat, fibonacci):seq(fibonacci(8, 2^i), i=0..24);

Mathematica

Table[Fibonacci[8, 2^i], {i, 0, 30}] (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

Prog

(PARI) Vec(-3*(75264*x^3-24592*x^2+1054*x-7)/((2*x-1)*(8*x-1)*(32*x-1)*(128*x-1)) + O(x^100)) \\ Colin Barker, May 03 2015

Crossrefs

Sequence in context: A014903 A219308 A358698 * A106656 A083043 A162807

Adjacent sequences: A020531 A020532 A020533 * A020535 A020536 A020537

Keyword

nonn,easy

Author

Simon Plouffe

Status

approved