A028033 - OEIS

A028033

Expansion of 1/((1-3x)(1-4x)(1-6x)(1-8x)).

1, 21, 283, 3129, 31003, 287217, 2547091, 21931833, 185027755, 1538650113, 12663786499, 103454051337, 840560481307, 6802315926609, 54886579262707, 441905197121241, 3552134005816459, 28518494951667105

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (21, -158, 504, -576).

FORMULA

G.f.: 1/((1-3*x)*(1-4*x)*(1-6*x)*(1-8*x)).

a(n) = (3*8^(n+3)-10*6^(n+3)+15*4^(n+3)-8*3^(n+3))/120. - Yahia Kahloune, May 27 2013

a(n) = 21*a(n-1) - 158*a(n-2) + 504*a(n-3) - 576*a(n-4). - Wesley Ivan Hurt, Jun 26 2025

CROSSREFS

Sequence in context: A028053 A223996 A323063 * A176711 A025987 A125456

Adjacent sequences: A028030 A028031 A028032 * A028034 A028035 A028036

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved