OFFSET
0,13
LINKS
Andrew Howroyd, Table of n, a(n) for n = 0..230
R. A. Sulanke, Generalizing Narayana and Schroeder Numbers to Higher Dimensions, Electron. J. Combin. 11 (2004), Research Paper 54.
FORMULA
T(n,k) = T(k,n).
EXAMPLE
Array begins:
=====================================================================
n/k | 0 1 2 3 4 5 6 ...
----+----------------------------------------------------------------
0 | 1 1 1 1 1 1 1 ...
1 | 1 1 1 1 1 1 1 ...
2 | 1 1 3 11 45 197 903 ...
3 | 1 1 11 197 4593 126289 3888343 ...
4 | 1 1 45 4593 732963 155242003 40007492715 ...
5 | 1 1 197 126289 155242003 289599115433 723253222084867 ...
6 | 1 1 903 3888343 40007492715 723253222084867 ...
...
The T(2,3) = 11 matrices are:
[1 2 3] [1 2 3] [1 2 3] [1 2 3] [1 2 4] [1 2 4]
[2 3 4] [2 4 5] [3 4 5] [4 5 6] [2 3 5] [3 4 5]
.
[1 2 4] [1 2 5] [1 3 4] [1 3 4] [1 3 5]
[3 5 6] [3 4 6] [2 4 5] [2 5 6] [2 4 6]
PROG
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Andrew Howroyd, Sep 16 2024
STATUS
approved