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.

A006927 Number of connected trivalent graphs with 2n nodes and girth exactly 7.

This page as a plain text file.
%I A006927 M3086 #22 Jul 08 2025 16:58:07
%S A006927 0,0,0,0,0,0,0,0,0,0,0,0,1,3,21,545,30368,1782839,95079080,4686063107
%N A006927 Number of connected trivalent graphs with 2n nodes and girth exactly 7.
%D A006927 Gordon Royle, personal communication.
%D A006927 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A006927 Jason Kimberley, <a href="/wiki/User:Jason_Kimberley/C_k-reg_girth_eq_g_index">Index of sequences counting connected k-regular simple graphs with girth exactly g</a>
%F A006927 a(n) = A014375(n) - A014376(n).
%Y A006927 Connected 3-regular simple graphs with girth exactly g: A198303 (triangle); specified g: A006923 (g=3), A006924 (g=4), A006925 (g=5), A006926 (g=6), this sequence (g=7).
%Y A006927 Connected 3-regular simple graphs with girth at least g: A002851 (g=3), A014371 (g=4), A014372 (g=5), A014374 (g=6), A014375 (g=7), A014376 (g=8).
%K A006927 nonn,hard,more
%O A006927 0,14
%A A006927 _N. J. A. Sloane_
%E A006927 Definition amended to include "connected" (no disconnected yet), and "girth at least 7" minus "girth at least 8" formula provided by _Jason Kimberley_, Dec 12 2009