A028211 Expansion of 1/((1-6x)(1-8x)(1-9x)(1-11x)).

1, 34, 729, 12614, 192605, 2711058, 36061873, 460391518, 5699774949, 68923376522, 818303379257, 9575924656662, 110774806146733, 1269639423098626, 14443439746998081, 163313818986599246

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (34,-427,2346,-4752).

Formula

a(n) = 20*a(n-1) - 99*a(n-2) + 2^n*(4^(n+1) - 3^(n+1)), n >= 2. - Vincenzo Librandi, Mar 14 2011

a(n) = 2^(3*n+8)/3 + 11^(n+3)/30 - 6^(n+2)/5 - 3^(2*n+5)/2. - R. J. Mathar, Mar 14 2011

Crossrefs

Sequence in context: A296334 A296634 A016109 * A028207 A028193 A028206

Adjacent sequences: A028208 A028209 A028210 * A028212 A028213 A028214

Keyword

nonn

Author

N. J. A. Sloane

Status

approved