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.

A364370 Number of chordless cycles (of length > 3) in the complement of the n-hypercube graph.

This page as a plain text file.
%I A364370 #15 Feb 16 2025 08:34:06
%S A364370 0,0,0,6,160,1720,13056,82656,470016,2496384,12666880,62250496,
%T A364370 298868736,1409660928,6556483584,30148976640,137316794368,
%U A364370 620328091648,2782435737600,12402204475392,54971691171840,242433274675200
%N A364370 Number of chordless cycles (of length > 3) in the complement of the n-hypercube graph.
%H A364370 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ChordlessCycle.html">Chordless Cycle</a>
%H A364370 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HypercubeGraph.html">Hypercube Graph</a>
%F A364370 a(n) = 2^(n - 2)*n*Sum_{j=0..n-3} Sum_{k=3..n-j} 4*((k + 2)*2^(k - 5) - 1). - _Detlef Meya_, Jun 23 2024
%t A364370 a[n_] := 2^(n - 2)*n*Sum[Sum[4*((k + 2)*2^(k - 5) - 1),{k, 3, n-j}], {j, 0, n-3}]; Table[a[n], {n, 0, 21}] (* _Detlef Meya_, Jun 23 2024 *)
%Y A364370 Cf. A361149.
%K A364370 nonn
%O A364370 0,4
%A A364370 _Eric W. Weisstein_, Jul 20 2023
%E A364370 a(10) from _Pontus von Brömssen_, Jul 28 2023
%E A364370 a(11) and beyond from _Detlef Meya_, Jun 23 2024