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A032286 "DIK" (bracelet, indistinct, unlabeled) transform of 5,5,5,5... 1

%I #9 Jun 20 2018 22:13:59

%S 5,20,65,240,957,4360,21075,107760,566375,3039903,16529655,90798535,

%T 502567665,2799313350,15674233045,88163236380,497851322925,

%U 2821131185200,16035833020335,91404088484949,522308650924665,2991403124124120,17168050141237515,98716282462085185

%N "DIK" (bracelet, indistinct, unlabeled) transform of 5,5,5,5...

%H Andrew Howroyd, <a href="/A032286/b032286.txt">Table of n, a(n) for n = 1..200</a>

%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>

%H <a href="/index/Br#bracelets">Index entries for sequences related to bracelets</a>

%F G.f.: (5*x*(1+3*x+x^2)/((1-x)*(1-6*x^2)) + Sum_{d>0} phi(d)*log((1-x^d)/(1-6*x^d))/d)/2. - _Andrew Howroyd_, Jun 20 2018

%o (PARI) seq(n)={Vec(5*x*(1+3*x+x^2)/((1-x)*(1-6*x^2)) + sum(d=1, n, eulerphi(d)/d*log((1-x^d)/(1-6*x^d) + O(x*x^n))))/2} \\ _Andrew Howroyd_, Jun 20 2018

%Y Cf. A032283.

%K nonn

%O 1,1

%A _Christian G. Bower_

%E Terms a(21) and beyond from _Andrew Howroyd_, Jun 20 2018

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)