login
Triangle read by rows: T(n,k) (1 <= k <= n) = number of n X k Baxter matrices in which all row sums are 1.
1

%I #22 Oct 20 2021 21:16:26

%S 1,1,2,1,6,6,1,12,32,22,1,20,100,172,92,1,30,240,744,956,422,1,42,490,

%T 2364,5328,5492,2074,1,56,896,6174,21236,37618,32490,10754,1,72,1512,

%U 14056,68030,181140,264612,197144,58202,1,90,2400,28896,186462,690444,1497544,1863222,1222642,326240

%N Triangle read by rows: T(n,k) (1 <= k <= n) = number of n X k Baxter matrices in which all row sums are 1.

%H Don Knuth, <a href="https://cs.stanford.edu/~knuth/papers/baxter-matrices.pdf">Baxter matrices</a>, Preprint, Sep 05 2021.

%H George Spahn, <a href="https://arxiv.org/abs/2110.09688">Counting Baxter Matrices</a>, arXiv:2110.09688 [math.CO], 2021.

%Y The main diagonal is A001181.

%Y Cf. A347679.

%K nonn,tabl

%O 1,3

%A _N. J. A. Sloane_, Sep 10 2021

%E a(29)-a(55) from _Michael S. Branicky_, Sep 17 2021