A028079 Expansion of 1/((1-3x)(1-6x)(1-8x)(1-9x)).

1, 26, 433, 5894, 71533, 807002, 8661241, 89694638, 904552165, 8939508578, 86964763249, 835481774582, 7946080247197, 74954796226154, 702270481591657, 6542793214395326, 60669652146889429, 560336828250406130

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (26,-243,954,-1296).

Formula

a(n)=(5*9^(n+3)-9*8^(n+3)+5*6^(n+3)-3^(n+3))/90. [Yahia Kahloune, Jun 02 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-6x)(1-8x)(1-9x)), {x, 0, 30}], x] (* or *) LinearRecurrence[ {26, -243, 954, -1296}, {1, 26, 433, 5894}, 30] (* Harvey P. Dale, Feb 20 2023 *)

Crossrefs

Sequence in context: A218896 A028131 A028120 * A028117 A028076 A028005

Adjacent sequences: A028076 A028077 A028078 * A028080 A028081 A028082

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved