A028228 Expansion of 1/((1-7x)(1-10x)(1-11x)(1-12x)).

1, 40, 1007, 20414, 364329, 5979036, 92485219, 1369339018, 19606630637, 273438929192, 3733694351751, 50109751007862, 662977655746225, 8667106208101108, 112162143040653803, 1438993526155501346

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (40, -593, 3854, -9240).

Formula

From Vincenzo Librandi, Mar 18 2011: (Start)

a(n) = 40*a(n-1) - 593*a(n-2) + 3854*a(n-3) - 9240*a(n-4), n >= 4.

a(n) = 23*a(n-1) - 132*a(n-2) + (10^(n+1) - 7^(n+1))/3, n >= 2. (End)

a(n) = 6*12^(n+2)/5 - 11^(n+3)/4 + 5*10^(n+2)/3 - 7^(n+3)/60. - R. J. Mathar, Mar 20 2011

Mathematica

CoefficientList[Series[1/((1-7x)(1-10x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or  *) LinearRecurrence[{40, -593, 3854, -9240}, {1, 40, 1007, 20414}, 30] (* Harvey P. Dale, Jun 03 2023 *)

Crossrefs

Sequence in context: A172510 A004349 A016092 * A165380 A075907 A062143

Adjacent sequences: A028225 A028226 A028227 * A028229 A028230 A028231

Keyword

nonn

Author

N. J. A. Sloane

Status

approved