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A016092 Expansion of 1/((1-8x)(1-9x)(1-11x)(1-12x)). 1
1, 40, 1005, 20300, 360521, 5881680, 90375685, 1328528500, 18879767841, 261281940920, 3540146411165, 47147861315100, 619093593987961, 8034113714073760, 103234967777291445, 1315472793832108100 (list; graph; refs; listen; history; text; internal format)
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] (* or *) LinearRecurrence[{40, -595, 3900, -9504}, {1, 40, 1005, 20300}, 30] (* 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)))); /* or */ I:=[1, 40, 1005, 20300]; [n le 4 select I[n] else 40*Self(n-1)-595*Self(n-2)+3900*Self(n-3)-9504*Self(n-4): n in [1..20]]; // 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

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Last modified December 2 01:13 EST 2021. Contains 349435 sequences. (Running on oeis4.)