A028119 Expansion of 1/((1-4x)(1-5x)(1-7x)(1-12x)).

1, 28, 509, 7688, 105417, 1368660, 17211253, 212371456, 2591003393, 31398579212, 378973353837, 4563240432504, 54868960089529, 659203880450884, 7915910524882661, 95029322307819632, 1140621385518013425

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (28,-275,1136,-1680)

Formula

From Vincenzo Librandi, Mar 16 2011: (Start)

a(n) = 28*a(n-1) - 275*a(n-2) + 1136*a(n-3) - 1680*a(n-4), n >= 4.

a(n) = 19*a(n-1) - 84*a(n-2) + 5^(n+1) - 4^(n+1), n >= 2. (End)

a(n) = 5^(n+3)/14 - 7^(n+3)/30 - 2*4^(n+1)/3 + 18*12^(n+1)/35. - R. J. Mathar, Mar 18 2011

Mathematica

CoefficientList[Series[1/((1-4x)(1-5x)(1-7x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{28, -275, 1136, -1680}, {1, 28, 509, 7688}, 20] (* Harvey P. Dale, Apr 22 2018 *)

Crossrefs

Sequence in context: A028122 A028081 A028009 * A028069 A028007 A028078

Adjacent sequences: A028116 A028117 A028118 * A028120 A028121 A028122

Keyword

nonn

Author

N. J. A. Sloane

Status

approved