A024772 Expansion of 1/((1-x)(1-8x)(1-9x)(1-11x)).

1, 29, 554, 8794, 125715, 1681143, 21476668, 265496948, 3202922789, 37927649617, 442690769742, 5108795150862, 58428053357623, 663418639575851, 7489021847982176, 84142202352592936, 941752569789292617

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (29, -287, 1051, -792).

Formula

a(n) = (28*11^(n+3) - 105*9^(n+3) + 80*8^(n+3) - 3)/1680. - Yahia Kahloune, Jun 28 2013

From Wesley Ivan Hurt, Feb 08 2026: (Start)

a(n) = 29*a(n-1) - 287*a(n-2) + 1051*a(n-3) - 792*a(n-4).

G.f.: 1/((1-x)(1-8*x)*(1-9*x)*(1-11*x)). (End)

Mathematica

CoefficientList[Series[1/((1 - x) (1 - 8 x) (1 - 9 x) (1 - 11 x)), {x, 0, 20}], x] (* Wesley Ivan Hurt, Feb 08 2026 *)

Crossrefs

Sequence in context: A028008 A042628 A028001 * A028051 A024444 A026241

Adjacent sequences: A024769 A024770 A024771 * A024773 A024774 A024775

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved