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A007649 Number of set-like molecular species of degree n.
(Formerly M0824)
+0
2
1, 1, 2, 3, 7, 9, 20, 26, 54, 74, 137, 184, 356, 473, 841, 1154, 2034, 2742, 4740, 6405, 10874, 14794, 24515, 33246, 54955, 74380, 120501, 163828, 263144, 356621, 567330, 768854, 1212354, 1644335, 2567636, 3478873 (list; graph; listen)
OFFSET

0,3

COMMENT

A set-like molecular species is formed from the species of sets, E, through species addition, product and substitution.

REFERENCES

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

Euler Transform of A007650. Define c(n): c(0)=0. c(k)=a(k), k>0. A007650=MOEBIUSi(c)-c. (Christian G. Bower (bowerc(AT)usa.net), Feb 23 2006)

CROSSREFS

Cf. A000638, A007650.

Adjacent sequences: A007646 A007647 A007648 this_sequence A007650 A007651 A007652

Sequence in context: A135369 A109660 A075855 this_sequence A046152 A057239 A024541

KEYWORD

nonn

AUTHOR

Simon Plouffe (plouffe(AT)math.uqam.ca)

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


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