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

0,1

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).

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.

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 *)

Crossrefs

Cf. A091026.

Sequence in context: A321545 A201886 A232794 * A112494 A258004 A258014

Adjacent sequences: A091024 A091025 A091026 * A091028 A091029 A091030

Keyword

nonn,easy

Author

Wolfdieter Lang, Dec 23 2003

Status

approved