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A186810
Partial sums of A009940.
1
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
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
Sequence in context: A218920 A009450 A096978 * A167478 A094734 A094578
KEYWORD
sign,less
AUTHOR
Jonathan Vos Post, Feb 27 2011
STATUS
approved