A028052 Expansion of 1/((1-3x)(1-4x)(1-11x)(1-12x)).

1, 30, 595, 9900, 149941, 2145210, 29561815, 396813000, 5224781881, 67791656790, 869540915035, 11050958595300, 139392712421821, 1747306114774770, 21788203659532255, 270484281270892800

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (30, -305, 1200, -1584).

Formula

G.f.: 1/((1-3*x)*(1-4*x)*(1-11*x)*(1-12*x)).

a(n) = (7*12^(n+3)-9*11^(n+3)+9*4^(n+3)-7*3^(n+3))/504. - Yahia Kahloune, Jun 07 2013

a(n) = 30*a(n-1) - 305*a(n-2) + 1200*a(n-3) - 1584*a(n-4). - Wesley Ivan Hurt, Jun 26 2025

Crossrefs

Sequence in context: A024999 A024778 A004347 * A024445 A026308 A081140

Adjacent sequences: A028049 A028050 A028051 * A028053 A028054 A028055

Keyword

nonn

Author

N. J. A. Sloane

Status

approved