A016092 Expansion of 1/((1-8*x)*(1-9*x)*(1-11*x)*(1-12*x)).

1, 40, 1005, 20300, 360521, 5881680, 90375685, 1328528500, 18879767841, 261281940920, 3540146411165, 47147861315100, 619093593987961, 8034113714073760, 103234967777291445, 1315472793832108100

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (40,-595,3900,-9504)

Formula

a(n) = 40*a(n-1) - 595*a(n-2) + 3900*a(n-3) - 9504*a(n-4), n>=4. - Vincenzo Librandi, Mar 17 2011

a(n) = 23*a(n-1) - 132*a(n-2) + 9^(n+1) - 8^(n+1), n>=2 . - Vincenzo Librandi, Mar 17 2011

a(n) = 12^(n+2) -2*8^(n+2)/3 - 11^(n+3)/6 + 3*9^(n+2)/2. - R. J. Mathar, Mar 18 2011

Mathematica

CoefficientList[Series[1/((1-8x)(1-9x)(1-11x)(1-12x)), {x, 0, 30}], x] (* Harvey P. Dale, Apr 26 2013 *)

Prog

(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-8*x)*(1-9*x)*(1-11*x)*(1-12*x)))); // Vincenzo Librandi, Jun 24 2013

Crossrefs

Sequence in context: A004339 A172510 A004349 * A028228 A165380 A075907

Adjacent sequences: A016089 A016090 A016091 * A016093 A016094 A016095

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved