A028083 Expansion of 1/((1-3x)(1-6x)(1-9x)(1-10x)).

1, 28, 505, 7480, 99181, 1226548, 14470705, 165111760, 1838112661, 20084217868, 216290873305, 2302672401640, 24288950066941, 254275654917988, 2645388660962305, 27378515971285120, 282112466144578021

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (28,-279,1152,-1620).

Formula

a(0)=1, a(1)=28, a(2)=505, a(3)=7480, a(n)=28*a(n-1)-279*a(n-2)+ 1152*a(n-3)- 1620*a(n-4) From Harvey P. Dale, Jul 04 2012

a(n)=(9*10^(n+3)-14*9^(n+3)+7*6^(n+3)-2*3^(n+3))/252. [Yahia Kahloune, Jun 02 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-6x)(1-9x)(1-10x)), {x, 0, 30}], x] (* Harvey P. Dale, Jul 04 2012 *)
(* Alternative: *)
LinearRecurrence[{28, -279, 1152, -1620}, {1, 28, 505, 7480}, 30] (* Harvey P. Dale, Jul 04 2012 *)

Crossrefs

Sequence in context: A028124 A028133 A042516 * A028122 A028081 A028009

Adjacent sequences: A028080 A028081 A028082 * A028084 A028085 A028086

Keyword

nonn,changed

Author

N. J. A. Sloane

Status

approved