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Search: id:A035352
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| A035352 |
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Number of increasing rooted polygonal cacti with bridges (mixed Husimi trees) with n nodes. |
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+0
1
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| 1, 1, 3, 16, 122, 1203, 14518, 207061, 3406083, 63465271, 1320938774, 30371545338, 764447981599, 20904838435264, 617151430504113, 19561785238965715, 662583041367287249, 23882958184429006800
(list; graph; listen)
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OFFSET
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1,3
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 1..100
Index entries for sequences related to cacti
Index entries for sequences related to rooted trees
Index entries for sequences related to trees
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FORMULA
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E.g.f. satisfies A'(x)=exp((2*A(x)-A(x)^2)/(2-2*A(x))).
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MAPLE
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Ap:= proc(n) option remember; local A, f; if n<=0 then f:=1 else A:= Int(Ap(n-1), x); f:= exp ((2*A -A^2)/ (2-2*A)) fi; convert (series (f, x, n+1), polynom) end: a:= n-> coeff (series (Ap(n-1), x=0, n), x, n-1)*(n-1)!: seq (a(n), n=1..30); - Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 20 2008
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CROSSREFS
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Cf. A000083, A000237, A000314, A035082, A035349-A035357.
Sequence in context: A121629 A141625 A053588 this_sequence A159607 A087018 A005119
Adjacent sequences: A035349 A035350 A035351 this_sequence A035353 A035354 A035355
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KEYWORD
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nonn,eigen
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AUTHOR
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Christian G. Bower (bowerc(AT)usa.net), Nov 15 1998.
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EXTENSIONS
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a(18) corrected by Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 20 2008
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