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A068087 n^(2n-2). +0
4
1, 4, 81, 4096, 390625, 60466176, 13841287201, 4398046511104, 1853020188851841, 1000000000000000000, 672749994932560009201, 552061438912436417593344, 542800770374370512771595361, 629983141281877223603213172736, 852226929923929274082183837890625 (list; graph; listen)
OFFSET

1,2

COMMENT

Number of spanning trees in the bipartite graph K(n,n). In general the number of spanning trees in the bipartite graph K(m,n) is m^(n-1) * n^(m-1).

MAPLE

a:=n->mul(n^2, k=2..n):seq(a(n), n=1..15); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 26 2008

CROSSREFS

a(n) = A000169(n)^2.

Cf. A069996, A001787, A072590.

Adjacent sequences: A068084 A068085 A068086 this_sequence A068088 A068089 A068090

Sequence in context: A041189 A123198 A128911 this_sequence A090599 A133396 A007154

KEYWORD

nonn

AUTHOR

Sharon Sela (sharonsela(AT)hotmail.com), May 06 2002

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.


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