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A032285
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"DIK" (bracelet, indistinct, unlabeled) transform of 4,4,4,4...
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1
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4, 14, 40, 125, 412, 1540, 6080, 25580, 111020, 494066, 2231960, 10201365, 47012620, 218126120, 1017565328, 4769086955, 22440958180, 105967383690, 501941663240, 2384203613501, 11353304737740, 54186129705260, 259150824770720, 1241763877376990, 5960465454101812
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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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G.f.: (2*x*(2+5*x+x^2)/((1-x)*(1-5*x^2)) + Sum_{d>0} phi(d)*log((1-x^d)/(1-5*x^d))/d)/2. - Andrew Howroyd, Jun 20 2018
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PROG
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(PARI) seq(n)={Vec(2*x*(2+5*x+x^2)/((1-x)*(1-5*x^2)) + sum(d=1, n, eulerphi(d)/d*log((1-x^d)/(1-5*x^d) + O(x*x^n))))/2} \\ Andrew Howroyd, Jun 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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EXTENSIONS
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STATUS
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approved
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