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A055867
Fourth column of triangle A055864.
3
0, 0, 0, 64, 750, 10584, 175616, 3359232, 72900000, 1771561000, 47692136448, 1409582685888, 45392319784448, 1582328671875000, 59373627899904000, 2386420683693101056, 102303226385042448384, 4659806991485780193672
OFFSET
1,4
FORMULA
a(i)=0 for i=1, 2, 3; a(n) = n^3*(n+1)^(n-4), n >= 4.
E.g.f.: (9*W(-x)^2-14*W(-x)^3+3*W(-x)^4-9*x^2-32*x^3-81*x^4)/(72*x), W(x) principal branch of Lambert's function.
MAPLE
A055867:=n->n^3*(n+1)^(n-4): 0, 0, 0, seq(A055867(n), n=4..30); # Wesley Ivan Hurt, Jan 27 2017
CROSSREFS
Sequence in context: A108538 A195593 A221753 * A304346 A316217 A305641
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Jun 20 2000
STATUS
approved