A091027 Sixth column (m=7) of array A090452.

63, 910, 6083, 27483, 97188, 289884, 762048, 1816248, 4001613, 8264718, 16168867, 30204083, 54215070, 93980040, 157979640, 258402312, 412440315, 643939374, 985474539, 1480935379, 2188715144, 3185611044, 4571556360, 6475319760, 9061322985, 12537745038

Offset: 0

Author

Wolfdieter Lang, Dec 23 2003

Keywords

• nonn
• easy

Links

• T. D. Noe, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Crossrefs

Cf. A091026.

Programs

Mathematica

LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{63,910,6083,27483,97188,289884,762048,1816248,4001613,8264718,16168867},30] (* Harvey P. Dale, Dec 19 2021 *)

Formula

a(n)= (n+12)*(n+9)*(n+3)*(n+2)*(n+1)*(n^5+48*n^4+769*n^3+4782*n^2+11200*n+8400)/86400. 86400=10!/(2*3*7).

G.f.: (63+217*x-462*x^2+225*x^3+80*x^4-120*x^5+45*x^6-6*x^7)/(1-x)^11.