This site is supported by donations to The OEIS Foundation.



Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 4500 articles have referenced us, often saying "we would not have discovered this result without the OEIS".

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A005176 Number of regular graphs with n nodes.
(Formerly M0303)
1, 1, 2, 2, 4, 3, 8, 6, 22, 26, 176, 546, 19002, 389454, 50314870, 2942198546, 1698517037030 (list; graph; refs; listen; history; text; internal format)



J. M. Larson, Cheating Because They Can: Social Networks and Norm Violators, https://www.sas.upenn.edu/polisci/sites/www.sas.upenn.edu.polisci/files/Larson_cheaters_Feb2014.pdf, 2014. See Footnote 11. - N. J. A. Sloane, Mar 20 2014

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

P. Steinbach, Field Guide to Simple Graphs. Design Lab, Albuquerque NM, 1990.


Table of n, a(n) for n=0..16.

E. Friedman, Illustration of small graphs

Jason Kimberley, Index of sequences counting not necessarily connected k-regular simple graphs with girth at least g

Eric Weisstein's World of Mathematics, Regular Graph.


a(n) = A005177(n) + A068932(n). - David Wasserman, Mar 08 2002

Row sums of triangle A051031.


Not necessarily connected simple regular graphs: A005176 (any degree), A051031 (triangular array), specified degree k: A000012 (k=0), A059841 (k=1), A008483 (k=2), A005638 (k=3), A033301 (k=4), A165626 (k=5), A165627 (k=6), A165628 (k=7).

Simple regular graphs of any degree: A005177 (connected), A068932 (disconnected), this sequence (not necessarily connected).

Not necessarily connected regular simple graphs with girth at least g: this sequence (g=3), A185314 (g=4), A185315 (g=5), A185316 (g=6), A185317 (g=7), A185318 (g=8), A185319 (g=9).

Sequence in context: A056429 A133806 A185333 * A050335 A223537 A140860

Adjacent sequences:  A005173 A005174 A005175 * A005177 A005178 A005179




N. J. A. Sloane.


More terms from David Wasserman, Mar 08 2002

Terms a(15) and a(16) were appended by Jason Kimberley, Sep 25 2009

Edited by Jason Kimberley, Jan 06 2011 and May 24 2012



Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified November 28 22:58 EST 2015. Contains 264624 sequences.