A028112 Expansion of 1/((1-4x)(1-5x)(1-6x)(1-10x)).

1, 25, 401, 5285, 62601, 696045, 7442401, 77640805, 797399801, 8108665565, 81939294801, 824736146325, 8280574247401, 83010854259085, 831368657137601, 8321395551579845, 83260955156605401, 832895295388684605

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (25,-224,860,-1200).

Formula

a(n)=(10^(n+3)-15*6^(n+3)+24*5^(n+3)-10*4^(n+3))/120. [Yahia Kahloune, Jun 11 2013]

Maple

[seq( (10^(n+3)-15*6^(n+3)+24*5^(n+3)-10*4^(n+3))/120, n=0..40)];

Mathematica

CoefficientList[Series[1/((1-4x)(1-5x)(1-6x)(1-10x)), {x, 0, 20}], x] (* or *) LinearRecurrence[ {25, -224, 860, -1200}, {1, 25, 401, 5285}, 20] (* Harvey P. Dale, Apr 13 2022 *)

Crossrefs

Sequence in context: A028116 A028075 A042204 * A238511 A028064 A028061

Adjacent sequences: A028109 A028110 A028111 * A028113 A028114 A028115

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved