A055070 - OEIS

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A055070

Third column of triangle A055864.

0, 0, 9, 80, 900, 12348, 200704, 3779136, 81000000, 1948717100, 52027785216, 1527047909712, 48884036690944, 1695352148437500, 63331869759897600, 2535571976423919872, 108321063231221415936, 4918685157679434648876

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

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..18.

FORMULA

a(1)=0= a(2); a(n)= n^2*(n+1)^(n-3), n >= 3.

E.g.f. (3*W(-x)^2-2*W(-x)^3-3*x^2-8*x^3)/(12*x), W(x) principal branch of Lambert's function.

a(n)=A055864(n, 3).

CROSSREFS

Cf. A055864, A000272, A055865.

Sequence in context: A359921 A192214 A127265 * A143848 A317052 A363420

Adjacent sequences: A055067 A055068 A055069 * A055071 A055072 A055073

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang Jun 20 2000

STATUS

approved