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A055070 Third column of triangle A055864. 3
0, 0, 9, 80, 900, 12348, 200704, 3779136, 81000000, 1948717100, 52027785216, 1527047909712, 48884036690944, 1695352148437500, 63331869759897600, 2535571976423919872, 108321063231221415936, 4918685157679434648876 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

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: A018913 A192214 A127265 * A143848 A117817 A107346

Adjacent sequences:  A055067 A055068 A055069 * A055071 A055072 A055073

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Jun 20 2000

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.