A028164 Expansion of 1/((1-4x)(1-10x)(1-11x)(1-12x)).

1, 37, 875, 16865, 288891, 4584297, 68969155, 997819105, 14012533931, 192242650457, 2588592449235, 34328260342545, 449522440061371, 5824352378123017, 74789809096438115, 953017761256677185

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (37,-494,2768,-5280).

Formula

From Vincenzo Librandi, Mar 16 2011: (Start)

a(n) = 23*a(n-1) - 132*a(n-2) + (10^(n+1) - 4^(n+1))/6, n >= 2.

a(n) = 37*a(n-1) - 494*a(n-2) + 2768*a(n-3) - 5280*a(n-4), n >= 4. (End)

a(n) = -2^(2*n+2)/21 - 11^(n+3)/7 + 25*10^(n+1)/3 + 9*12^(n+1). - R. J. Mathar, Mar 18 2011

Mathematica

CoefficientList[Series[1/((1-4x)(1-10x)(1-11x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{37, -494, 2768, -5280}, {1, 37, 875, 16865}, 20] (* Harvey P. Dale, Dec 20 2023 *)

Crossrefs

Sequence in context: A028217 A028215 A028198 * A159090 A159109 A159127

Adjacent sequences: A028161 A028162 A028163 * A028165 A028166 A028167

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved