%I #28 Mar 16 2021 08:31:16
%S 1,1,2,1,12,6,1,86,108,24,1,840,2310,960,120,1,11642,65700,42960,9000,
%T 720,1,227892,2583126,2510760,712320,90720,5040,1,6285806,142259628,
%U 199424904,71243760,11481120,987840,40320
%N Erroneous version of A342587.
%H L. Comtet, <a href="https://archive.org/details/Comtet_Louis_-_Advanced_Coatorics/page/n35/mode/2up">Advanced Combinatorics</a>, Reidel, 1974, p. 60.
%e Triangle T(n,k) (with n >= 1 and 1 <= k <= n) begins as follows:
%e 1;
%e 1, 2;
%e 1, 12, 6;
%e 1, 86, 108, 24;
%e 1, 840, 2310, 960, 120;
%e 1, 11642, 65700, 42960, 9000, 720;
%e 1, 227892, 2583126, 2510760, 712320, 90720, 5040;
%e ...
%Y Cf. A000142 (diagonal), A001035 (row sums), A055531 (k=2), A055532 (k=3), A055533 (subdiagonal), A081064, A342501 (connected).
%K dead
%O 1,3
%A _N. J. A. Sloane_