A347678 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, 1, 2, 1, 6, 6, 1, 12, 32, 22, 1, 20, 100, 172, 92, 1, 30, 240, 744, 956, 422, 1, 42, 490, 2364, 5328, 5492, 2074, 1, 56, 896, 6174, 21236, 37618, 32490, 10754, 1, 72, 1512, 14056, 68030, 181140, 264612, 197144, 58202, 1, 90, 2400, 28896, 186462, 690444, 1497544, 1863222, 1222642, 326240

Offset

1,3

Links

Table of n, a(n) for n=1..55.

Don Knuth, Baxter matrices, Preprint, Sep 05 2021.

George Spahn, Counting Baxter Matrices, arXiv:2110.09688 [math.CO], 2021.

Crossrefs

The main diagonal is A001181.

Cf. A347679.

Sequence in context: A046651 A063007 A331430 * A202190 A089231 A052296

Adjacent sequences: A347675 A347676 A347677 * A347679 A347680 A347681

Keyword

nonn,tabl

Author

N. J. A. Sloane, Sep 10 2021

Extensions

a(29)-a(55) from Michael S. Branicky, Sep 17 2021

Status

approved