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A032254
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"DHK" (bracelet, identity, unlabeled) transform of 1,2,3,4,...
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2
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1, 1, 2, 5, 8, 16, 29, 59, 124, 287, 670, 1634, 3992, 9867, 24320, 60290, 149124, 370146, 918796, 2286685, 5697484, 14227797, 35583724, 89168380, 223794690, 562624780, 1416520302, 3571567951, 9017077418, 22794093212
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OFFSET
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0,3
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LINKS
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PROG
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(PARI)
DHK(p, n)={my(q=((1+p)^2/(1-subst(p, x, x^2))-1)/2); p + (p^2-subst(p, x, x^2))/2 + sum(d=1, n, moebius(d)*(log(subst(1/(1+O(x*x^(n\d))-p), x, x^d))/d - subst(q + O(x*x^(n\d)), x, x^d)))/2}
seq(n)={Vec(1 + DHK(x/(1-x)^2 + O(x*x^n), n))} \\ Andrew Howroyd, Sep 21 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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EXTENSIONS
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STATUS
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approved
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