A028157 Expansion of 1/((1-4*x)*(1-8*x)*(1-9*x)*(1-12*x)).

1, 33, 697, 12033, 185353, 2657361, 36306649, 479622561, 6184444585, 78342273009, 979414153081, 12123907404609, 148962749140297, 1819935176767377, 22139457629549593, 268445978800100577, 3246867076469210089, 39196546477890050865, 472501860505315865785, 5689600281100781492865, 68453710810451999911561, 823069543400283259953873

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (33,-392,1968,-3456).

Formula

a(0)=1, a(1)=33, a(2)=697, a(3)=12033, a(n) = 33*a(n-1)-392*a(n-2)+1968*a(n-3)-3456*a(n-4). - Harvey P. Dale, Mar 01 2012

a(n) = (5*12^(n+3)-32*9^(n+3)+30*8^(n+3)-3*4^(n+3))/480. - Yahia Kahloune, Jun 11 2013

Mathematica

CoefficientList[Series[1/((1-4x)(1-8x)(1-9x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{33, -392, 1968, -3456}, {1, 33, 697, 12033}, 30] (* Harvey P. Dale, Mar 01 2012 *)

Crossrefs

Sequence in context: A028187 A028186 A028158 * A028178 A028153 A028105

Adjacent sequences: A028154 A028155 A028156 * A028158 A028159 A028160

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved