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 A003400 Number of asymmetric (not necessarily connected) graphs with n nodes. (Formerly M4575) 14
 1, 0, 0, 0, 0, 8, 152, 3696, 135004, 7971848, 805364776, 144123121972 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS Number of simple graphs g on n nodes with |Aut(g)| = 1. REFERENCES F. Harary and E. M. Palmer, Graphical Enumeration, Academic Press, NY, 1973, p. 220, Section P3.4. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Klaus Brockhaus, The 6-node asymmetric graphs Zoran Maksimovic, Number of graphs on n nodes whose automorphism group orders are k, n<=11 Yoav Spector, Moshe Schwartz, Study of potential Hamiltonians for quantum graphity, arXiv:1808.05632 [cond-mat.stat-mech], 2018. Peter Steinbach, Field Guide to Simple Graphs, Volume 1, Part 17 (For Volumes 1, 2, 3, 4 of this book see A000088, A008406, A000055, A000664, respectively.) Eric Weisstein's World of Mathematics, Graph Automorphism Eric Weisstein's World of Mathematics, Identity Graph FORMULA a(n) = A124059(n) + A275867(n). PROG (nauty/bash) for n in {1..10}; do geng -q \${n} | countg -q -a1 | grep altogether | awk '{print \$1}'; done # - Sean A. Irvine, Apr 22 2015 CROSSREFS Cf. A124059 (connected simple asymmetric graphs). Cf. A275867 (disconnected simple asymmetric graphs). Cf. A000088 (simple graphs). Sequence in context: A221732 A249931 A123770 * A059510 A264708 A094059 Adjacent sequences:  A003397 A003398 A003399 * A003401 A003402 A003403 KEYWORD nonn,nice,hard,more AUTHOR EXTENSIONS a(8) and a(9) from Eric W. Weisstein, Jun 09 2004 a(10) and a(11) from Zoran Maksimovic, Vladeta Jovovic, Jan 21 2005 a(12) from Sean A. Irvine, Apr 22 2015 STATUS approved

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Last modified August 16 03:24 EDT 2022. Contains 356150 sequences. (Running on oeis4.)