%I #17 Mar 02 2020 08:53:45
%S 1,2,8,3,37,113,4,145,1257,3492,5,452,9020,67394,183732,6,1374,60826,
%T 938194,6398792,17061118,7,3933,356023,30492722,466578957,3032145644,
%U 7743056064
%N Triangle read by rows: T(n,k) (1 <= k <= n) = number of ascendingly generated semigroups of order n with k generators.
%H Alex Bailey, Martin Finn-Sell, Robert Snocken, <a href="http://arxiv.org/abs/1409.2444">Subsemigroup, ideal and congruence growth of free semigroups</a>, arXiv preprint arXiv:1409.2444 [math.GR], 2014.
%e Triangle begins:
%e 1;
%e 2, 8;
%e 3, 37, 113;
%e 4, 145, 1257, 3492;
%e 5, 452, 9020, 67394, 183732;
%e 6, 1374, 60826, 938194, 6398792, 17061118;
%e 7, 3933, 356023, 30492722, 466578957, 3032145644, 7743056064;
%e ...
%Y Main diagonal is A023814. Column 2 is A256412.
%K nonn,tabl,more
%O 1,2
%A _N. J. A. Sloane_, Apr 03 2015