A028123 Expansion of 1/((1-4x)(1-5x)(1-8x)(1-12x)).

1, 29, 545, 8485, 119481, 1586589, 20323345, 254479445, 3140238761, 38383465549, 466251023745, 5640435145605, 68049758226841, 819519225638909, 9857637166837745, 118479045968342965, 1423248497110019721

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (29,-296,1264,-1920).

Formula

From Vincenzo Librandi, Mar 17 2011: (Start)

a(n) = 29*a(n-1) - 296*a(n-2) + 1264*a(n-3) - 1920*a(n-4), n >= 4.

a(n) = 20*a(n-1) - 96*a(n-2) + 5^(n+1) - 4^(n+1), n >= 2. (End)

a(n) = 5^(n+3)/21 - 2*4^n - 4*8^(n+1)/3 + 54*12^n/7. - R. J. Mathar, Mar 18 2011

Crossrefs

Sequence in context: A028134 A028084 A028015 * A028082 A028010 A028071

Adjacent sequences: A028120 A028121 A028122 * A028124 A028125 A028126

Keyword

nonn

Author

N. J. A. Sloane

Status

approved