A028128 Expansion of 1/((1-4x)(1-5x)(1-10x)(1-12x)).

1, 31, 623, 10355, 155151, 2182251, 29453143, 386424115, 4968644351, 62947998971, 788663289063, 9797059846275, 120896875524751, 1484089915071691, 18142382512443383, 221041773758074835

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (31,-338,1520,-2400)

Formula

From Vincenzo Librandi, Mar 17 2011: (Start)

a(n) = 31*a(n-1) - 338*a(n-2) + 1520*a(n-3) - 2400*a(n-4), n >= 4.

a(n) = 22*a(n-1) - 120*a(n-2) + 5^(n+1) - 4^(n+1), n >= 2. (End)

a(n) = 9*12^(n+1)/7 - 5*10^(n+1)/3 - 2^(2n+2)/3 + 5^(n+2)/7. - R. J. Mathar, Mar 18 2011

Mathematica

CoefficientList[Series[1/((1-4x)(1-5x)(1-10x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[ {31, -338, 1520, -2400}, {1, 31, 623, 10355}, 20] (* Harvey P. Dale, Jan 17 2023 *)

Crossrefs

Sequence in context: A028096 A042864 A028095 * A028018 A028087 A028017

Adjacent sequences: A028125 A028126 A028127 * A028129 A028130 A028131

Keyword

nonn

Author

N. J. A. Sloane

Status

approved