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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
OFFSET
0,5
COMMENTS
See Vargas (2017) for a more precise definition.
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
Main diagonal gives A000108.
Columns j=1-2 give: A000012, A030662.
Sequence in context: A083801 A344557 A193590 * A281890 A342381 A341723
KEYWORD
nonn,tabl
AUTHOR
STATUS
approved