cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A363036 Triangular array read by rows. T(n,k) is the number of regular elements in the semigroup of all binary relations on [n] that have rank k, n>=0, 0<=k<=n.

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%I A363036 #27 May 18 2023 10:41:37
%S A363036 1,1,1,1,9,6,1,49,306,114,1,225,8550,26376,5256,1,961,194850,3311250,
%T A363036 4669200,507720
%N A363036 Triangular array read by rows.  T(n,k) is the number of regular elements in the semigroup of all binary relations on [n] that have rank k, n>=0, 0<=k<=n.
%H A363036 K. K.-H. Butler and G. Markowsky, <a href="https://www.koreascience.or.kr/article/JAKO197225748110925.pdf">The Number of Maximal Subgroups of the Semigroup of Binary Relations</a>, Kyungpook Math. J. Vol 12, June 1972.
%e A363036  1;
%e A363036  1,   1;
%e A363036  1,   9,      6;
%e A363036  1,  49,    306,     114;
%e A363036  1, 225,   8550,   26376,    5256;
%e A363036  1, 961, 194850, 3311250, 4669200, 507720;
%e A363036  ...
%Y A363036 Cf. A354279 (row sums), A003425 (main diagonal), A060867 (column k=1), A354741.
%K A363036 nonn,tabl,more
%O A363036 0,5
%A A363036 _Geoffrey Critzer_, May 17 2023