A025995 Expansion of 1/((1-2x)(1-5x)(1-7x)(1-11x)).

1, 25, 412, 5694, 71799, 859131, 9961834, 113290048, 1272810517, 14190510477, 157439054136, 1741315046562, 19221270567955, 211903646137663, 2334237969260518, 25699753556697636, 282859494700604913

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..959

Index entries for linear recurrences with constant coefficients, signature (25,-213,719,-770).

Formula

a(n) = -8*2^n/135 +125*5^n/36 -343*7^n/40 +1331*11^n/216. R. J. Mathar, Jun 20 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-5x)(1-7x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[ {25, -213, 719, -770}, {1, 25, 412, 5694}, 30] (* Harvey P. Dale, Aug 20 2022 *)

Prog

(PARI) a(n)=-8*2^n/135+125*5^n/36-343*7^n/40+1331*11^n/216 \\ Charles R Greathouse IV, Jun 01 2026

Crossrefs

Sequence in context: A025998 A024437 A028041 * A023955 A025980 A387313

Adjacent sequences: A025992 A025993 A025994 * A025996 A025997 A025998

Keyword

nonn,easy,changed

Author

N. J. A. Sloane

Status

approved