A028127 Expansion of 1/((1-4x)(1-5x)(1-10x)(1-11x)).

1, 30, 581, 9270, 132861, 1781910, 22867141, 284524950, 3461329421, 41398890390, 488675095701, 5708526430230, 66125948101981, 760712837896470, 8701144748444261, 99045775841641110, 1122836116105178541

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (30,-319,1410,-2200)

Formula

From Vincenzo Librandi, Mar 17 2011: (Start)

a(n) = 30*a(n-1) - 319*a(n-2) + 1410*a(n-3) - 2200*a(n-4), n >= 4.

a(n) = 21*a(n-1) - 110*a(n-2) + 5^(n+1) - 4^(n+1), n >= 2. (End)

a(n) = -2*4^(n+2)/21 - 10^(n+2)/3 + 5^(n+2)/6 + 11^(n+3)/42. - R. J. Mathar, Mar 18 2011

Mathematica

CoefficientList[Series[1/((1-4x)(1-5x)(1-10x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{30, -319, 1410, -2200}, {1, 30, 581, 9270}, 30] (* Harvey P. Dale, Oct 08 2012 *)

Crossrefs

Sequence in context: A028169 A028094 A028138 * A028086 A028092 A028126

Adjacent sequences: A028124 A028125 A028126 * A028128 A028129 A028130

Keyword

nonn

Author

N. J. A. Sloane

Status

approved