A186810 Partial sums of A009940.

1, 1, 0, -4, -19, -75, -260, -464, 5745, 118145, 1638416, 20803836, 258490285, 3203144581, 39595146396, 481418955200, 5547932810945, 54569481140961, 257079620051200, -8335537038105380, -407961130194651699

Offset

0,4

Comments

Partial sums of row sums of triangle of coefficients of Laguerre polynomials L_n(x).

Through a(46) the only number whose absolute value is a prime is a(4) = -19.

Links

G. C. Greubel, Table of n, a(n) for n = 0..449

Eric Weisstein's World of Mathematics, Laguerre Polynomial

Formula

a(n) = Sum_{k=0..n} k!*LaguerreL(k,1). - G. C. Greubel, Feb 05 2018

Mathematica

Table[Sum[k!*LaguerreL[k, 1], {k, 0, n}], {n, 0, 50}] (* G. C. Greubel, Feb 05 2018 *)

Crossrefs

Cf. A009940, A021009.

Sequence in context: A218920 A009450 A096978 * A167478 A094734 A094578

Adjacent sequences: A186807 A186808 A186809 * A186811 A186812 A186813

Keyword

sign,less

Author

Jonathan Vos Post, Feb 27 2011

Status

approved