A147546 Expansion of (7-41*x+42*x^2)/((1-6*x)*(1-3*x)*(1-2*x)).

7, 36, 186, 1002, 5622, 32466, 190806, 1132482, 6757062, 40427346, 242215926, 1452244962, 8710305702, 52252317426, 313485305046, 1880825933442, 11284697713542, 67707412226706, 406242150410166, 2437445932037922

Offset

0,1

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (11,-36,36).

Formula

a(n)=11*a(n-1)-36*a(n-2)+36*a(n-3) = 6*3^n-3*2^n+4*6^n. G.f.: (7-41*x+42*x^2)/((1-6x)(1-3x)(1-2x)). - R. J. Mathar, Nov 09 2008

Crossrefs

Sequence in context: A368575 A037538 A037482 * A333060 A331719 A020085

Adjacent sequences: A147543 A147544 A147545 * A147547 A147548 A147549

Keyword

nonn,easy,less

Author

Roger L. Bagula, Nov 06 2008

Extensions

Meaningful name from Joerg Arndt, Dec 26 2022

Status

approved