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A020531 a(n) = 5th Fibonacci polynomial evaluated at 2^n. 2
5, 29, 305, 4289, 66305, 1051649, 16789505, 268484609, 4295163905, 68720263169, 1099514773505, 17592198627329, 281475027042305, 4503599828697089, 72057594843234305, 1152921507828072449, 18446744086594453505, 295147905230892433409, 4722366483075803643905 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Colin Barker, Table of n, a(n) for n = 0..830

Index entries for linear recurrences with constant coefficients, signature (21,-84,64).

FORMULA

From Colin Barker, May 03 2015: (Start)

  a(n) = (1+3*4^n+16^n).

  a(n) = 21*a(n-1)-84*a(n-2)+64*a(n-3) for n>2.

  G.f.: -(116*x^2-76*x+5) / ((x-1)*(4*x-1)*(16*x-1)).

(End)

MAPLE

with(combinat, fibonacci):seq(fibonacci(5, 2^i), i=0..24);

MATHEMATICA

Table[Fibonacci[5, 2^i], {i, 0, 30}] (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

PROG

(PARI) Vec(-(116*x^2-76*x+5)/((x-1)*(4*x-1)*(16*x-1)) + O(x^100)) \\ Colin Barker, May 03 2015

CROSSREFS

Sequence in context: A332517 A332469 A112799 * A195228 A226668 A226666

Adjacent sequences:  A020528 A020529 A020530 * A020532 A020533 A020534

KEYWORD

nonn,easy

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified June 20 18:28 EDT 2021. Contains 345199 sequences. (Running on oeis4.)