A025977 Expansion of 1/((1-2x)(1-4x)(1-8x)(1-10x)).

1, 24, 380, 5040, 60816, 693504, 7625920, 81818880, 862797056, 8985360384, 92714818560, 950046289920, 9683681284096, 98302694129664, 994754528460800, 10041368129372160, 101164272641703936, 1017647491560505344

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..998

Index entries for linear recurrences with constant coefficients, signature (24, -196, 624, -640).

Formula

a(0)=1, a(1)=24, a(2)=380, a(3)=5040, a(n)=24*a(n-1)-196*a(n-2)+ 624*a(n-3)- 640*a(n-4). - Harvey P. Dale, Dec 23 2012

a(n) = -2^n/12 +4*4^n/3 -32*8^n/3 +125*10^n/12. R. J. Mathar, Jun 20 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-4x)(1-8x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{24, -196, 624, -640}, {1, 24, 380, 5040}, 30] (* Harvey P. Dale, Dec 23 2012 *)

Crossrefs

Sequence in context: A004335 A023954 A028036 * A023951 A025990 A022565

Adjacent sequences: A025974 A025975 A025976 * A025978 A025979 A025980

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved