

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.


0



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
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OFFSET

0,5


COMMENTS

See Vargas (2017) for a more precise definition.


LINKS

Table of n, a(n) for n=0..44.
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.


FORMULA

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


EXAMPLE

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,
...


CROSSREFS

Sequence in context: A336244 A083801 A193590 * A281890 A111544 A109281
Adjacent sequences: A300048 A300049 A300050 * A300052 A300053 A300054


KEYWORD

nonn,tabl


AUTHOR

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


STATUS

approved



