A350026 - OEIS

%I #13 May 30 2022 11:56:22

%S 1,1,1,2,1,2,3,13,8,139,65,25888,24316,92798256,122859796

%N Number of species containing totally symmetric Latin squares of order n.

%C A Latin square is "totally symmetric" if all 6 of its conjugates are equal. Species are also known as "main classes" or "paratopism classes".

%H Brendan D. McKay and Ian M. Wanless, <a href="https://doi.org/10.1002/jcd.21814">Enumeration of Latin squares with conjugate symmetry</a>, J. Combin. Des. 30 (2022), 105-130.

%Y Cf. A076019, A350025.

%K nonn,more

%O 1,4

%A _Ian Wanless_, Dec 08 2021