A300051 Triangle read by rows giving numbers T(n,j) (n >= 0, 1 <= j <= n+1) of certain restricted partitions of 2n into j blocks.

1, 1, 1, 1, 5, 2, 1, 19, 24, 5, 1, 69, 202, 112, 14, 1, 251, 1520, 1665, 510, 42, 1, 923, 11000, 21121, 11827, 2277, 132, 1, 3431, 78806, 249137, 226205, 76111, 10010, 429, 1, 12869, 566234, 2840928, 3918842, 2044444, 456456, 43472, 1430

Offset: 0

Author

Michael De Vlieger and N. J. A. Sloane, Feb 23 2018

Keywords

• nonn
• tabl

Comments

See Vargas (2017) for a more precise definition.

Examples

			Triangle begins:
  1;
  1,   1;
  1,   5,     2;
  1,  19,    24,     5;
  1,  69,   202,   112,    14;
  1, 251,  1520,  1665,   510,   42;
  1, 923, 11000, 21121, 11827, 2277, 132;
  ...
		

Links

• Jorge Garza Vargas, The traffic distribution of the squared unimodular random matrix and a formula for the moments of its ESD, arXiv:1709.01498 [math.PR], 2017. See Table 1.

Crossrefs

Main diagonal gives A000108.

Columns j=1-2 give: A000012, A030662.

Formula

The authors report that they were unable to find a general formula.