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

Author

Jonathan Vos Post, Feb 27 2011

Keywords

• sign
• less

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

Crossrefs

Cf. A009940, A021009.

Programs

Mathematica

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

Formula

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