A214616 n*(n+1)*(n+2)*(n+3)*(20*n^2+72*n+43)/360.

0, 9, 89, 439, 1519, 4214, 10038, 21378, 41778, 76263, 131703, 217217, 344617, 528892, 788732, 1147092, 1631796, 2276181, 3119781, 4209051, 5598131, 7349650, 9535570, 12238070, 15550470, 19578195, 24439779, 30267909, 37210509, 45431864, 55113784

Offset

0,2

Comments

Second but last (highest) coefficient of the Meixner polynomial M_n(x); 5th column of A060338.

Links

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (7, -21, 35, -35, 21, -7, 1).

Formula

G.f. -x*(9+26*x+5*x^2) / (x-1)^7 .

Maple

A214616 := proc(n)
    n*(n+1)*(n+2)*(n+3)*(20*n^2+72*n+43)/360 ;
end proc:

Mathematica

Table[Times@@(n+Range[0, 3])(20n^2+72n+43)/360, {n, 0, 30}] (* or *) LinearRecurrence[ {7, -21, 35, -35, 21, -7, 1}, {0, 9, 89, 439, 1519, 4214, 10038}, 40] (* Harvey P. Dale, Dec 24 2014 *)

Crossrefs

Sequence in context: A328492 A306686 A055410 * A175371 A291893 A217321

Adjacent sequences: A214613 A214614 A214615 * A214617 A214618 A214619

Keyword

nonn,easy

Author

R. J. Mathar, Mar 06 2013

Status

approved