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A020523 a(n) = 3rd Euler polynomial evaluated at 2^n and multiplied by 4. 6
-1, 9, 161, 1665, 14849, 124929, 1024001, 8290305, 66715649, 535298049, 4288675841, 34334572545, 274777243649, 2198620602369, 17590575431681, 140731045904385, 1125874137038849, 9007096175525889, 72057181721067521, 576459103035981825 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (13,-44,32).

FORMULA

a(n) = 4*8^n - 6*4^n + 1.

a(n) = 13*a(n-1)-44*a(n-2)+32*a(n-3) for n>2. - Colin Barker, May 04 2015

G.f.: -(22*x-1) / ((x-1)*(4*x-1)*(8*x-1)). - Colin Barker, May 04 2015

MAPLE

seq(euler(3, 2^i), i=0..24);

MATHEMATICA

Table[EulerE[3, 2^n], {n, 0, 40}]*4 (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

PROG

(PARI) Vec(-(22*x-1)/((x-1)*(4*x-1)*(8*x-1)) + O(x^100)) \\ Colin Barker, May 04 2015

CROSSREFS

Cf. A020524 - A020526.

Sequence in context: A217392 A327978 A062232 * A023039 A243682 A159831

Adjacent sequences:  A020520 A020521 A020522 * A020524 A020525 A020526

KEYWORD

sign,easy

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified October 21 01:08 EDT 2019. Contains 328291 sequences. (Running on oeis4.)