A025930 Expansion of 1/((1-2x)(1-3x)(1-5x)(1-6x)).

1, 16, 165, 1400, 10661, 75936, 517525, 3421000, 22124421, 140796656, 885205685, 5513890200, 34098207781, 209668346176, 1283419890645, 7827611393000, 47601257612741, 288785879108496, 1748608103548405

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (16,-91,216,-180).

Formula

From Vincenzo Librandi, Mar 19 2011: (Start)

a(n) = 16*a(n-1) - 91*a(n-2) + 216*a(n-3) - 180*a(n-4), n >= 4.

a(n) = 11*a(n-1) - 30*a(n-2) + 3^(n+1) - 2^(n+1), n >= 2. (End)

a(n) = 3*6^(n+1) - 5^(n+3)/6 + 3^(n+2)/2 - 2^(n+1)/3. - R. J. Mathar, Mar 19 2011

Crossrefs

Sequence in context: A274747 A204031 A341084 * A125404 A246057 A265598

Adjacent sequences: A025927 A025928 A025929 * A025931 A025932 A025933

Keyword

nonn

Author

N. J. A. Sloane

Status

approved