A028188 Expansion of 1/((1-5*x)*(1-7*x)*(1-10*x)*(1-12*x)).

1, 34, 737, 13022, 204885, 2995842, 41695033, 560476774, 7346285309, 94497418730, 1198353224289, 15030879260046, 186924790959973, 2308975949692498, 28368854500004105, 347054225208330038

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (34,-419,2210,-4200).

Formula

G.f.: 1/((1-5*x)*(1-7*x)*(1-10*x)*(1-12*x)).

a(n) = (3*12^(n+3)-7*10^(n+3)+7^(n+4)-3*5^(n+3))/210. [Yahia Kahloune, May 29 2013].

a(n) = 34*a(n-1)-419*a(n-2)+2210*a(n-3)-4200*a(n-4). - Wesley Ivan Hurt, May 04 2021

Mathematica

CoefficientList[Series[1/((1-5x)(1-7x)(1-10x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{34, -419, 2210, -4200}, {1, 34, 737, 13022}, 30] (* Harvey P. Dale, Jul 15 2018 *)

Crossrefs

Sequence in context: A028206 A028192 A028161 * A295780 A028159 A028179

Adjacent sequences: A028185 A028186 A028187 * A028189 A028190 A028191

Keyword

nonn

Author

N. J. A. Sloane

Status

approved