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A000237 Number of mixed Husimi trees with n nodes; or rooted polygonal cacti with bridges.
(Formerly M2754 N1107)
+0
12
0, 1, 1, 3, 8, 26, 84, 297, 1066, 3976, 15093, 58426, 229189, 910127, 3649165, 14756491, 60103220, 246357081, 1015406251, 4205873378, 17497745509, 73084575666, 306352303774, 1288328048865, 5433980577776, 22982025183983 (list; graph; listen)
OFFSET

0,4

REFERENCES

G. W. Ford and G. E. Uhlenbeck, Combinatorial problems in the theory of graphs III, Proc. Nat. Acad. Sci. USA, 42 (1956), 529-535.

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

Christian G. Bower, Table of n, a(n) for n=0..500

C. G. Bower, Transforms (2)

N. J. A. Sloane, Transforms

Index entries for sequences related to cacti

Index entries for sequences related to rooted trees

Index entries for sequences related to trees

FORMULA

Shifts left under transform T where Ta = EULER(BIK(a)). [See Transforms links.]

CROSSREFS

Cf. A000083, A000314, A035082, A035349-A035357.

Sequence in context: A148803 A148804 A148805 this_sequence A148806 A148807 A148808

Adjacent sequences: A000234 A000235 A000236 this_sequence A000238 A000239 A000240

KEYWORD

nonn,eigen,nice,easy

AUTHOR

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

EXTENSIONS

More terms and formula from Christian G. Bower (bowerc(AT)usa.net), Nov 15 1998

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Last modified March 9 00:15 EST 2010. Contains 173097 sequences.


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