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.

A019266 Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for square lattice.

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%I A019266 #40 Jul 27 2022 03:46:40
%S A019266 1,0,4,12,56,280,1488,8232,47008,274824,1636520,9890584,60510480,
%T A019266 374019776,2332131872,14651535840,92653845120,589317728376,
%U A019266 3767523372432,24196006128592,156030800105840,1009911004804296,6558631830442384,42723991459518368,279091277437885920
%N A019266 Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for square lattice.
%H A019266 Alois P. Heinz, <a href="/A019266/b019266.txt">Table of n, a(n) for n = 0..65</a>
%H A019266 G. Thimm, <a href="/thimm1.html">Cycle sequences of crystal structures</a>
%H A019266 G. Thimm and W. E. Klee, <a href="https://doi.org/10.1016/S0144-2449(97)00122-X">Zeolite cycle sequences</a>, Zeolites, 19, pp. 422-424, 1997.
%F A019266 a(n) = A010566(n) / 2 = 2 * n * A002931(n) for n > 0. - _Andrey Zabolotskiy_, Jul 26 2022
%t A019266 (Length@FindCycle[{NearestNeighborGraph[Tuples[Range[2 # + 4], 2], {All, 1.}], {#+2,#+2}}, {2 #}, All]) &  /@ Range[11] (* _Gabriel B. Apolinario_, Jan 07 2017 *)
%Y A019266 Cf. A002931, A010566.
%K A019266 nonn
%O A019266 0,3
%A A019266 Georg Thimm (mgeorg(AT)ntu.edu.sg)
%E A019266 a(11) from _Gabriel B. Apolinario_, Jan 07 2017
%E A019266 a(12)-a(18) from _Aleksandr D. Krotov_, Jan 07 2018
%E A019266 a(19)-a(20) from _Aleksandr D. Krotov_, Mar 22 2019
%E A019266 Terms a(21) and beyond added by _Andrey Zabolotskiy_, Jul 26 2022, using A002931