A028163 Expansion of 1/((1-4x)(1-9x)(1-11x)(1-12x)).

1, 36, 829, 15576, 260425, 4039212, 59479093, 843439392, 11625297409, 156744987828, 2076870835117, 27134173366248, 350447396932153, 4483154549898684, 56894676264296101, 717171756670960944

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (36,-467,2544,-4752)

Formula

a(n) = 23*a(n-1) - 132*a(n-2) + (9^(n+1) - 4^(n+1))/5), n >= 2. - Vincenzo Librandi, Mar 16 2011

a(n) = -11^(n+3)/14 - 2*4^(n+1)/35 + 6*12^(n+1) + 3*9^(n+2)/10. - R. J. Mathar, Mar 17 2011

Mathematica

CoefficientList[Series[1/((1-4x)(1-9x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{36, -467, 2544, -4752}, {1, 36, 829, 15576}, 30] (* Harvey P. Dale, Dec 16 2021 *)

Crossrefs

Sequence in context: A028209 A028195 A114238 * A054622 A028108 A001457

Adjacent sequences: A028160 A028161 A028162 * A028164 A028165 A028166

Keyword

nonn

Author

N. J. A. Sloane

Status

approved