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.

A232967 Irregular triangle read by rows: row n lists the rank sizes of the "electrical" poset EP_n of circular planar graphs with n boundary vertices.

This page as a plain text file.
%I A232967 #15 Oct 09 2020 03:51:07
%S A232967 1,1,1,1,3,3,1,1,6,14,16,10,4,1,1,10,40,85,110,97,65,35,15,5,1,1,15,
%T A232967 90,295,609,873,948,840,636,421,246,126,56,21,6,1,1,21,175,805,2366,
%U A232967 4872,7567,9459,10031,9359,7861,6027,4249,2765,1661,917,462,210,84,28,7,1,1,28,308,1876,7350,20272,42090,69620,96334,115980,125044,123176,112380,95836,76868,58220,41734,28344,18236,11096,6364,3424,1716,792,330,120,36,8,1
%N A232967 Irregular triangle read by rows: row n lists the rank sizes of the "electrical" poset EP_n of circular planar graphs with n boundary vertices.
%C A232967 More than the usual number of terms are given, since the connection with A111088 seems rather mysterious.
%H A232967 J. Alman, C. Lian, and B. Tran, <a href="http://www-users.math.umn.edu/~reiner/REU/AlmanLianTran2013.pdf">Circular Planar Electrical Networks: Posets and Positivity</a>, 2013.
%e A232967 Triangle begins:
%e A232967 1,
%e A232967 1, 1,
%e A232967 1, 3, 3, 1,
%e A232967 1, 6, 14, 16, 10, 4, 1,
%e A232967 1, 10, 40, 85, 110, 97, 65, 35, 15, 5, 1,,
%e A232967 1, 15, 90, 295, 609, 873, 948, 840, 636, 421, 246, 126, 56, 21, 6, 1,
%e A232967 1, 21, 175, 805, 2366, 4872, 7567, 9459, 10031, 9359, 7861, 6027, 4249, 2765, 1661, 917, 462, 210, 84, 28, 7, 1,
%e A232967 1, 28, 308, 1876, 7350, 20272, 42090, 69620, 96334, 115980, 125044, 123176, 112380, 95836, 76868, 58220, 41734, 28344, 18236, 11096, 6364, 3424, 1716, 792, 330, 120, 36, 8, 1,
%e A232967 ...
%Y A232967 Row sums give A111088.
%K A232967 nonn,tabf
%O A232967 1,5
%A A232967 _N. J. A. Sloane_, Dec 04 2013