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.

A055341 Number of mobiles (circular rooted trees) with n nodes and 3 leaves.

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%I A055341 #18 Feb 14 2025 10:21:18
%S A055341 1,3,8,19,37,66,110,172,257,371,518,705,939,1226,1574,1992,2487,3069,
%T A055341 3748,4533,5435,6466,7636,8958,10445,12109,13964,16025,18305,20820,
%U A055341 23586,26618,29933,33549,37482,41751,46375,51372,56762,62566,68803
%N A055341 Number of mobiles (circular rooted trees) with n nodes and 3 leaves.
%H A055341 <a href="/index/Mo#mobiles">Index entries for sequences related to mobiles</a>
%H A055341 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2,-1,0,1,2,-3,1).
%F A055341 G.f.: x^4(-x^4+2x^3+x^2+1)/((1-x^2)(1-x^3)(1-x)^3).
%p A055341 A055341 := proc(n)
%p A055341     n^2/12+n/2-215/288+n^4/48-n^3/9-(-1)^n/32-2*A049347(n)/9 ;
%p A055341 end proc:
%p A055341 seq(A055341(n),n=4..40 ) ; # reuses code of A049347 _R. J. Mathar_, Feb 14 2025
%Y A055341 Column 3 of A055340.
%K A055341 nonn
%O A055341 4,2
%A A055341 _Christian G. Bower_, May 14 2000