A020525 a(n) = 5th Euler polynomial evaluated at 2^n and multiplied by 2.

1, 3, 847, 45375, 1770751, 61871103, 2063618047, 67377381375, 2177548746751, 70025148104703, 2246302260789247, 71969633128677375, 2304435634414026751, 73764458297036898303, 2360822953465975144447, 75552099118396657893375

Offset

0,2

Links

Colin Barker, Table of n, a(n) for n = 0..664

Index entries for linear recurrences with constant coefficients, signature (53,-756,2752,-2048).

Formula

a(n) = 53*a(n-1)-756*a(n-2)+2752*a(n-3)-2048*a(n-4) for n>3. - Colin Barker, May 04 2015

G.f.: (1444*x^2-50*x+1) / ((x-1)*(4*x-1)*(16*x-1)*(32*x-1)). - Colin Barker, May 04 2015

Maple

seq(euler(5, 2**i), i=0..24);

Mathematica

Table[EulerE[5, 2^n], {n, 0, 40}]*2 (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

Prog

(PARI) Vec((1444*x^2-50*x+1)/((x-1)*(4*x-1)*(16*x-1)*(32*x-1)) + O(x^100)) \\ Colin Barker, May 04 2015

Crossrefs

Cf. A020523 - A020526.

Sequence in context: A266654 A332183 A000723 * A252762 A341574 A283017

Adjacent sequences: A020522 A020523 A020524 * A020526 A020527 A020528

Keyword

nonn,easy

Author

Simon Plouffe

Status

approved