A228510 a(n) = (128*n^4/25+14528*n^3/225+20344*n^2/75+661816*n/1575+168)*(n+6)!/n!.

120960, 4682880, 54268416, 364571136, 1758756096, 6759726336, 21978671616, 62815154688, 161990345088, 384087420288, 849090198528, 1768911326208, 3502103394816, 6633368787456, 12086145432576, 21278464551936, 36334471510656, 60366490588800

Offset

0,1

Comments

Name was "Coefficients from quartic oscillator number 22".

See comment and example in A225010.

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Formula

G.f.: 1152*(105 +2910*x +8168*x^2 +4530*x^3 +415*x^4)/(1-x)^11. [Bruno Berselli, Oct 16 2013]

Example

For n=4 the solution is 1758756096.

Mathematica

Table[(128 n^4/25 + 14528 n^3/225 + 20344 n^2/75 + 661816 n/1575 + 168) (n + 6)!/n!, {n, 0, 20}] (* Bruno Berselli, Oct 16 2013 *)

Prog

(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1152*(105+2910*x+8168*x^2+4530*x^3+415*x^4)/(1-x)^11)); // Bruno Berselli, Oct 16 2013

Crossrefs

Cf. A225010.

Sequence in context: A234340 A251001 A061128 * A237247 A068136 A362966

Adjacent sequences: A228507 A228508 A228509 * A228511 A228512 A228513

Keyword

nonn,easy

Author

Charles A. Lane, Aug 23 2013

Status

approved