A024607 Number of connected triangle-free graphs on n unlabeled nodes.

1, 1, 1, 3, 6, 19, 59, 267, 1380, 9832, 90842, 1144061, 19425052, 445781050, 13743625184, 566756900370, 31125101479652

Offset: 1

Author

Peter J. Cameron

Keywords

• hard
• more
• nonn
• nice

Links

• P. J. Cameron, Sequences realized by oligomorphic permutation groups, J. Integ. Seqs. Vol. 3 (2000), #00.1.5.
• CombOS - Combinatorial Object Server, Generate graphs
• Satvik Singh, Can entanglement hide behind triangle-free graphs?, arXiv:2010.11891 [quant-ph], 2020.
• Eric Weisstein's World of Mathematics, Connected Graph
• Eric Weisstein's World of Mathematics, Triangle-Free Graph

Crossrefs

Inverse Euler transform of A006785.

Table of graphs on n nodes with clique number k is A126744.

Column k=1 of A283417.

Extensions

2 more terms from Vladeta Jovovic, May 17 2008

2 more terms from A006785 by Martin Fuller, May 01 2015