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A032270 "DIJ" (bracelet, indistinct, labeled) transform of 1,3,5,7,... 2

%I #9 Sep 13 2018 14:38:49

%S 1,1,4,15,75,481,4155,47021,647759,10328977,185812755,3715936789,

%T 81749718039,1961990821913,51011755028507,1428329124503581,

%U 42849873694048287,1371195958107799585,46620662575416672291,1678343852714400808997,63777066403145801007143

%N "DIJ" (bracelet, indistinct, labeled) transform of 1,3,5,7,...

%H Andrew Howroyd, <a href="/A032270/b032270.txt">Table of n, a(n) for n = 0..200</a>

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

%F E.g.f.: 1 + (g(x) + g(x)^2/2 - log(1-g(x)))/2 where g(x) = 1 + (2*x-1)*exp(x). - _Andrew Howroyd_, Sep 12 2018

%o (PARI) seq(n)={my(p=1+(2*x-1)*exp(x + O(x*x^n))); Vec(1 + serlaplace(p + p^2/2 - log(1-p))/2)} \\ _Andrew Howroyd_, Sep 12 2018

%K nonn

%O 0,3

%A _Christian G. Bower_

%E a(0)=1 prepended and terms a(19) and beyond from _Andrew Howroyd_, Sep 12 2018

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)