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.

A185335 Number of not necessarily connected 3-regular simple graphs on 2n vertices with girth at least 5.

This page as a plain text file.
%I A185335 #24 Jul 01 2025 15:56:46
%S A185335 1,0,0,0,0,1,2,9,49,455,5784,90940,1620491,31478651,656784488,
%T A185335 14621878339,345975756388
%N A185335 Number of not necessarily connected 3-regular simple graphs on 2n vertices with girth at least 5.
%H A185335 Jason Kimberley, <a href="/wiki/User:Jason_Kimberley/E_k-reg_girth_ge_g_index">Index of sequences counting not necessarily connected k-regular simple graphs with girth at least g</a>
%F A185335 This sequence is the Euler transformation of A014372.
%t A185335 A014372 = Cases[Import["https://oeis.org/A014372/b014372.txt", "Table"], {_, _}][[All, 2]];
%t A185335 (* EulerTransform is defined in A005195 *)
%t A185335 EulerTransform[Rest @ A014372] (* _Jean-François Alcover_, Dec 04 2019, updated Mar 18 2020 *)
%Y A185335 3-regular simple graphs with girth at least 5: A014372 (connected), A185235 (disconnected), this sequence (not necessarily connected).
%Y A185335 Not necessarily connected 3-regular simple graphs with girth *at least* g: A005638 (g=3), A185334 (g=4), this sequence (g=5), A185336 (g=6).
%Y A185335 Not necessarily connected 3-regular simple graphs with girth *exactly* g: A185133 (g=3), A185134 (g=4), A185135 (g=5), A185136 (g=6).
%Y A185335 Not necessarily connected k-regular simple graphs with girth at least 5: A185315 (any k), A185305 (triangle); specified degree k: A185325 (k=2), this sequence (k=3).
%K A185335 nonn,more,hard
%O A185335 0,7
%A A185335 _Jason Kimberley_, Jan 28 2011