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A055862
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Fourth column of triangle A055858.
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2
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0, 0, 0, 36, 400, 5400, 86436, 1605632, 34012224, 810000000, 21435888100, 624333422592, 19851622826256, 684376513673216, 25430282226562500, 1013309916158361600, 43104723599206637824, 1949779138161985486848
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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FORMULA
| a(i)=0, i=0, 1, 2; a(n)= (n^2)*(n+1)^(n-2), n >= 3.
E.g.f.: -x*(1+4*x)/2 + (W(-x)^2)*(1-W(-x))/((1+W(-x))*x*2), W(x) principal branch of Lambert's function.
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CROSSREFS
| a(n)=A055858(n, 3). Cf. A000312, A000169, A055860, A055861.
Sequence in context: A086575 A203027 A164583 * A105095 A027782 A179099
Adjacent sequences: A055859 A055860 A055861 * A055863 A055864 A055865
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Jun 20 2000
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