A028195 Expansion of 1/((1-5x)(1-8x)(1-11x)(1-12x)).

1, 36, 825, 15380, 254721, 3910596, 56993545, 800115060, 10923586641, 145981963556, 1918518760665, 24879137417940, 319158529241761, 4058064014390916, 51218264422582185, 642449405949396020

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (36,-471,2636,-5280).

Formula

a(n) = 23*a(n-1) - 132*a(n-2) + (8^(n+1) - 5^(n+1))/3, n >= 2. - Vincenzo Librandi, Mar 12 2011

a(n) = (28*8^(n+2) + 54*12^(n+2) - 7*11^(n+3) - 5^(n+3))/126. - Bruno Berselli, Mar 12 2011

Mathematica

CoefficientList[Series[1/((1-5x)(1-8x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{36, -471, 2636, -5280}, {1, 36, 825, 15380}, 30] (* Harvey P. Dale, Jul 17 2019 *)

Crossrefs

Sequence in context: A028214 A028197 A028209 * A114238 A028163 A054622

Adjacent sequences: A028192 A028193 A028194 * A028196 A028197 A028198

Keyword

nonn

Author

N. J. A. Sloane

Status

approved