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A032163
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Number of series-reduced planted compound windmills with n leaves of 2 colors where any 2 submills extending from the same node are different.
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1
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2, 1, 2, 6, 18, 63, 232, 868, 3338, 13105, 52270, 210822, 859528, 3535424, 14654628, 61150659, 256674992, 1083008336, 4590945532, 19542842196, 83504907276, 358032884540, 1539885406796, 6641914100221
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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 "CGK" (necklace, element, unlabeled) transform.
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PROG
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(PARI)
CGK(v)={apply(p->subst(serlaplace(p/y), y, 1), 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, CGK(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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