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Search: id:A032188
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| A032188 |
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Number of labeled series-reduced mobiles (circular rooted trees) with n leaves (root has degree 0 or >=2). |
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9
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| 1, 1, 5, 41, 469, 6889, 123605, 2620169, 64074901, 1775623081, 54989743445, 1882140936521, 70552399533589, 2874543652787689, 126484802362553045, 5977683917752887689, 301983995802099667861, 16239818347465293071401
(list; graph; listen)
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OFFSET
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1,3
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LINKS
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Index entries for sequences related to mobiles
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 89
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FORMULA
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Doubles (index 2+) under "CIJ" (necklace, indistinct, labeled) transform.
E.g.f. A(x) satisfies ln(1-A(x))+2*A(x)-x = 0. - Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 06 2002
With offset 0, second Eulerian transform of the powers of 2 [A000079]. See A001147 for definition of SET. - Ross La Haye (rlahaye(AT)new.rr.com), Feb 14 2005
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MAPLE
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Order := 20; t1 := solve(series((ln(1-A)+2*A), A)=x, A); A000311 := n->n!*coeff(t1, x, n);
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MATHEMATICA
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For[y=x+O[x]^21; oldy=0, y=!=oldy, oldy=y; y=((1-y)Log[1-y]+x*y+y-x)/(2y-1), Null]; Table[n!Coefficient[y, x, n], {n, 1, 20}]
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CROSSREFS
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Sequence in context: A047735 A096364 A049119 this_sequence A143415 A056545 A009755
Adjacent sequences: A032185 A032186 A032187 this_sequence A032189 A032190 A032191
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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)
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