A055861 - OEIS

A055861

Essentially A053506 but with leading 0 (instead of 1) and offset 0.

0, 0, 6, 48, 500, 6480, 100842, 1835008, 38263752, 900000000, 23579476910, 681091006464, 21505924728444, 737020860878848, 27246730957031250, 1080863910568919040, 45798768824157052688, 2064472028642102280192

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

FORMULA

a(0) = 0 = a(1); a(n) = n*(n+1)^(n-1), n >= 2.

E.g.f.: -x + W(-x)^2/((1+W(-x))*x) = ((d/dx)W(-x)^2)/2-x, W(x) principal branch of Lambert's function.

CROSSREFS

Third column of triangle A055858.

Cf. A053506, A000312, A000169, A055860.

Sequence in context: A052639 A248744 A261900 * A053506 A052567 A351340

Adjacent sequences: A055858 A055859 A055860 * A055862 A055863 A055864

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Jun 20 2000

STATUS

approved