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

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