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A000662 Relations with 3 arguments on n nodes.
(Formerly M2180 N0872)
+0
3
2, 136, 22377984, 768614354122719232, 354460798875983863749270670915141632, 146267071761884981524915186989628577728537526896649216991428608 (list; graph; listen)
OFFSET

1,1

REFERENCES

F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like Structures, Cambridge, 1998, p. 76 (2.2.31)

W. Oberschelp, Kombinatorische Anzahlbestimmungen in Relationen, Math. Ann., 174 (1967), 53-78.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

P. J. Cameron, Sequences realized by oligomorphic permutation groups, J. Integ. Seqs. Vol. 3 (2000), #00.1.5.

FORMULA

a(n) = sum {1*s_1+2*s_2+...=n} (fix A[s_1, s_2, ...]/(1^s_1*s_1!*2^s_2*s_2!*...)) where fix A[s_1, s_2, ...] = 2^sum {i, j, k>=1} (i*j*k*s_i*s_j*s_k/lcm(i, j, k)).

CROSSREFS

Cf. A000595, A001377, A051241.

Sequence in context: A014315 A097641 A065963 this_sequence A139907 A087619 A157072

Adjacent sequences: A000659 A000660 A000661 this_sequence A000663 A000664 A000665

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Formula from Christian G. Bower (bowerc(AT)usa.net), Jan 06 2004

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Last modified November 22 14:50 EST 2009. Contains 167310 sequences.


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