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A032068
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Number of series-reduced dyslexic planted planar trees with n leaves of 2 colors where any 2 subtrees extending from the same node are different.
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1
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2, 1, 2, 7, 22, 85, 344, 1408, 5914, 25394, 110818, 488688, 2178594, 9797950, 44406134, 202591861, 929716110, 4288808485, 19876422076, 92501558277, 432109230664, 2025444499805, 9523528005822, 44906724639089
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OFFSET
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1,1
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LINKS
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FORMULA
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Doubles (index 2+) under "BGK" (reversible, element, unlabeled) transform.
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PROG
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(PARI)
BGK(v)={apply(p->subst(serlaplace(y^0*p + polcoeff(p, 1)), y, 1)/2, Vec(prod(k=1, #v, (1 + x^k*y + O(x*x^#v))^v[k])-1, -#v))}
seq(n)={my(v=[2]); for(i=2, n, v=concat(v, BGK(concat(v, [0]))[i])); v} \\ Andrew Howroyd, Sep 20 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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