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A055868 Fifth column of triangle A055864. 1
0, 0, 0, 0, 625, 9072, 153664, 2985984, 65610000, 1610510000, 43717791744, 1301153248512, 42150011228416, 1476840093750000, 55662776156160000, 2246042996417036288, 96619713808095645696, 4414553991933897025584 (list; graph; refs; listen; history; internal format)
OFFSET

1,5

FORMULA

a(i)=0 for i=1..4; a(n)= n^4*(n+1)^(n-5), n >= 5.

E.g.f.: (270*W(-x)^2-740*W(-x)^3+345*W(-x)^4-36*W(-x)^5-270*x^2-1280*x^3-3645*x^4-9216*x^5)/(4320*x), W(x) principal branch of Lambert's function.

CROSSREFS

a(n)=A055864(n, 5). Cf. A000272, A055865, A055070, A055867, A055858.

Sequence in context: A046756 A143026 A064781 * A106321 A016852 A016972

Adjacent sequences:  A055865 A055866 A055867 * A055869 A055870 A055871

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 15 12:20 EST 2012. Contains 205785 sequences.