cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A032245 "DHK" (bracelet, identity, unlabeled) transform of 1,1,1,1,...

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%I A032245 #8 Sep 21 2018 02:21:08
%S A032245 1,1,1,2,2,3,4,6,10,19,35,68,133,259,500,976,1868,3609,6911,13296,
%T A032245 25456,48925,93786,180326,346432,667009,1284331,2477342,4781021,
%U A032245 9240027,17870724,34604082,67058896,130085007,252545177,490722360
%N A032245 "DHK" (bracelet, identity, unlabeled) transform of 1,1,1,1,...
%H A032245 Andrew Howroyd, <a href="/A032245/b032245.txt">Table of n, a(n) for n = 0..500</a>
%H A032245 C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>
%o A032245 (PARI)
%o A032245 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}
%o A032245 seq(n)={Vec(1 + DHK(x/(1-x) + O(x*x^n), n))} \\ _Andrew Howroyd_, Sep 21 2018
%K A032245 nonn
%O A032245 0,4
%A A032245 _Christian G. Bower_
%E A032245 a(0)=1 prepended by _Andrew Howroyd_, Sep 21 2018