A028022 Expansion of 1/((1-2x)(1-9x)(1-10x)(1-12x)).

1, 33, 709, 12573, 199957, 2966205, 41944933, 572993421, 7627809013, 99550699677, 1279261319557, 16238012145069, 204088032533269, 2544643371529149, 31521003288514981, 388369584933658317

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..925

Index entries for linear recurrences with constant coefficients, signature (33, -380, 1716, -2160).

Formula

a(n) = (28*12^(n+3) - 105*10^(n+3) + 80*9^(n+3) - 3*2^(n+3))/1680. - Yahia Kahloune, May 22 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-9x)(1-10x)(1-12x)), {x, 0, 20}], x] (* Harvey P. Dale, Oct 26 2025 *)
(* Alternative: *)
LinearRecurrence[{33, -380, 1716, -2160}, {1, 33, 709, 12573}, 20] (* Harvey P. Dale, Oct 26 2025 *)

Prog

(PARI) a(n)=(48384*12^n-105000*10^n+58320*9^n-24*2^n)/1680 \\ Charles R Greathouse IV, Jun 02 2026

Crossrefs

Sequence in context: A028103 A028144 A028098 * A028020 A025130 A081141

Adjacent sequences: A028019 A028020 A028021 * A028023 A028024 A028025

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved