A055863 Fifth column of triangle A055858.

0, 0, 0, 0, 320, 4500, 74088, 1404928, 30233088, 729000000, 19487171000, 572305637376, 18324574916544, 635492476982272, 23734930078125000, 949978046398464000, 40569151622782717952, 1841458074930764070912

Offset

0,5

Links

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

Formula

a(i)=0, i=0..3; a(n)= (n^3)*(n+1)^(n-3), n >= 4.

E.g.f.: -x*(3+16*x+54*x^2)/12+(W(-x)^2)*(3-7*W(-x)+2*W(-x)^2)/ (12*(1+W(-x))*x), W(x) principal branch of Lambert's function.

Crossrefs

a(n)=A055858(n, 4). Cf. A000312, A000169, A055860-A055862.

Sequence in context: A258681 A258674 A237326 * A168636 A264140 A045813

Adjacent sequences: A055860 A055861 A055862 * A055864 A055865 A055866

Keyword

nonn,easy

Author

Wolfdieter Lang Jun 20 2000

Status

approved