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A007650 Number of set-like atomic species of degree n.
(Formerly M2227)
+0
2
0, 1, 1, 1, 3, 1, 6, 1, 10, 4, 12, 1, 33, 1, 29, 13, 64, 1, 100, 1, 156, 30, 187, 1, 443, 10, 476, 78, 877, 1, 1326, 1, 2098, 188, 2745, 36, 5203, 1, 6408, 477, 11084, 1, 15687, 1, 24709, 1241, 33249, 1, 57432, 27, 74529, 2746 (list; graph; listen)
OFFSET

0,5

REFERENCES

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

G. Labelle and P. Leroux, Identities and enumeration: weighting connected components, Abstracts Amer. Math. Soc., 15 (1994), Meeting #896.

LINKS

G. Labelle and P. Leroux, An extension of the exponential formula in enumerative combinatorics

N. J. A. Sloane, Transforms

FORMULA

Inverse Euler Transform of A007649. Define c(n): c(0)=0. c(k)=A007649(k), k>0. a=MOEBIUSi(c)-c. (Christian G. Bower (bowerc(AT)usa.net), Feb 23 2006)

CROSSREFS

Cf. A005226, A007649.

Sequence in context: A001065 A109646 A145063 this_sequence A165552 A067231 A145791

Adjacent sequences: A007647 A007648 A007649 this_sequence A007651 A007652 A007653

KEYWORD

nonn

AUTHOR

Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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