A028125 Expansion of 1/((1-4x)(1-5x)(1-9x)(1-11x)).

1, 29, 542, 8338, 115203, 1490127, 18459184, 221986196, 2613955685, 30311197345, 347486967906, 3949158184374, 44583107459047, 500701324008083, 5600328285552308, 62437282927169272, 694313904033290889

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (29,-299,1291,-1980).

Formula

From Vincenzo Librandi, Mar 17 2011: (Start)

a(n) = 29*a(n-1) - 299*a(n-2) + 1291*a(n-3) - 1980*a(n-4), n >= 4.

a(n) = 20*a(n-1) - 99*a(n-2) + 5^(n+1) - 4^(n+1), n >= 2. (End)

a(n) = -4^(n+3)/35 + 5^(n+3)/24 - 9^(n+3)/40 + 11^(n+3)/84. - R. J. Mathar, Mar 17 2011

Crossrefs

Sequence in context: A028093 A153816 A028091 * A028134 A028084 A028015

Adjacent sequences: A028122 A028123 A028124 * A028126 A028127 A028128

Keyword

nonn

Author

N. J. A. Sloane

Status

approved