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A025931 Expansion of 1/((1-2x)(1-3x)(1-5x)(1-7x)). 0
1, 17, 188, 1726, 14343, 112371, 848506, 6255392, 45386165, 325753285, 2320698744, 16447547298, 116147697667, 818112983159, 5752200695702, 40392496919044, 283383067688049, 1986859807248393, 13923911479636180 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (17,-101,247,-210)

FORMULA

a(n) = 12*a(n-1) - 35*a(n-2) + 3^(n+1) - 2^(n+1), n >= 2. - Vincenzo Librandi, Mar 19 2011

a(n) = 7^(n+3)/40 - 2^(n+3)/15 + 3^(n+3)/8 - 5^(n+3)/12. - R. J. Mathar, Mar 19 2011

MATHEMATICA

CoefficientList[Series[1/((1-2x)(1-3x)(1-5x)(1-7x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{17, -101, 247, -210}, {1, 17, 188, 1726}, 20] (* Harvey P. Dale, Aug 05 2013 *)

CROSSREFS

Sequence in context: A225966 A057614 A041548 * A115234 A197370 A211848

Adjacent sequences:  A025928 A025929 A025930 * A025932 A025933 A025934

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified March 22 17:25 EDT 2019. Contains 321422 sequences. (Running on oeis4.)