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A055860 Essentially A000169 but with leading 0 (instead of 1) and offset 0. 5
0, 2, 9, 64, 625, 7776, 117649, 2097152, 43046721, 1000000000, 25937424601, 743008370688, 23298085122481, 793714773254144, 29192926025390625, 1152921504606846976, 48661191875666868481, 2185911559738696531968 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 67

FORMULA

a(0)= 0, a(n)= (n+1)^n, n >= 1.

E.g.f.: -W(-x)/((1+W(-x))*x)-1 = -diff(W(x), x)-1, W(x) principal branch of Lambert's function.

CROSSREFS

Second column of triangle A055858. Cf. A000169, A055858, A000312.

Sequence in context: A036776 A036777 * A152917 A000169 A112319 A038038

Adjacent sequences:  A055857 A055858 A055859 * A055861 A055862 A055863

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 15 16:56 EST 2012. Contains 205825 sequences.