A028117 Expansion of 1/((1-4x)(1-5x)(1-7x)(1-10x)).

1, 26, 433, 5910, 72261, 826266, 9049993, 96336350, 1005909421, 10365632706, 105846730353, 1074027489990, 10850349799381, 109279857370346, 1098262533175513, 11021021340982830, 110479731234006141

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (26, -243, 970, -1400).

Formula

G.f.: 1/((1-4*x)*(1-5*x)*(1-7*x)*(1-10*x)).

a(n) = (10^(n+3)-5*7^(n+3)+9*5^(n+3)-5*4^(n+3))/90. [Yahia Kahloune, Jun 11 2013]

Mathematica

CoefficientList[Series[1/((1 - 4 x) (1 - 5 x) (1 - 7 x) (1 - 10 x)), {x, 0, 20}], x] (* Wesley Ivan Hurt, Nov 17 2022 *)

Crossrefs

Sequence in context: A028131 A028120 A028079 * A028076 A028005 A028065

Adjacent sequences: A028114 A028115 A028116 * A028118 A028119 A028120

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved