A028167 Expansion of 1/((1-5x)(1-6x)(1-7x)(1-10x)).

1, 28, 497, 7160, 91581, 1086708, 12265177, 133727440, 1422928661, 14879566988, 153661601457, 1572610177320, 15989900903341, 161817863592868, 1632050285251337, 16420272919788800, 164917283388807621

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (28,-287,1280,-2100)

Formula

a(n) = 28*a(n-1) - 287*a(n-2) + 1280*a(n-3) - 2100*a(n-4), n >= 4. - Vincenzo Librandi, Mar 19 2011

a(n) = 17*a(n-1) - 70*a(n-2) + 6^(n+1) - 5^(n+1), n >= 2. - Vincenzo Librandi, Mar 19 2011

a(n) = 9*6^(n+1) - 5^(n+2)/2 - 7^(n+3)/6 + 5*10^(n+1)/3. - R. J. Mathar, Mar 19 2011

Mathematica

CoefficientList[Series[1/((1-5x)(1-6x)(1-7x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{28, -287, 1280, -2100}, {1, 28, 497, 7160}, 30] (* Harvey P. Dale, Mar 25 2013 *)

Crossrefs

Sequence in context: A330164 A323747 A028145 * A028136 A028090 A028124

Adjacent sequences: A028164 A028165 A028166 * A028168 A028169 A028170

Keyword

nonn

Author

N. J. A. Sloane

Status

approved