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A032284 "DIK" (bracelet, indistinct, unlabeled) transform of 3,3,3,3... 1

%I #9 Jun 20 2018 22:13:34

%S 3,9,22,57,150,444,1362,4497,15338,54018,193722,705392,2593398,

%T 9612144,35840622,134318097,505486878,1909275084,7234415562,

%U 27489389850,104718539638,399828796884,1529767891122,5864087533072,22518048468582,86607787095594,333600173734122

%N "DIK" (bracelet, indistinct, unlabeled) transform of 3,3,3,3...

%H Andrew Howroyd, <a href="/A032284/b032284.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.: (3*x/((1-x)*(1-2*x)) + Sum_{d>0} phi(d)*log((1-x^d)/(1-4*x^d))/d)/2. - _Andrew Howroyd_, Jun 20 2018

%o (PARI) seq(n)={Vec(3*x/((1-x)*(1-2*x)) + sum(d=1, n, eulerphi(d)/d*log((1-x^d)/(1-4*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(24) and beyond from _Andrew Howroyd_, Jun 20 2018

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Last modified August 3 05:00 EDT 2024. Contains 374875 sequences. (Running on oeis4.)