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A308460
Square array A(n,k), n >= 1, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. log(Sum_{j>=0} k^binomial(j,2) * x^j/j!).
1
1, 1, 0, 1, 1, 0, 1, 2, 4, 0, 1, 3, 20, 38, 0, 1, 4, 54, 624, 728, 0, 1, 5, 112, 3834, 55248, 26704, 0, 1, 6, 200, 15104, 1027080, 13982208, 1866256, 0, 1, 7, 324, 45750, 9684224, 1067308488, 10358360640, 251548592, 0, 1, 8, 490, 116208, 60225000, 30458183680, 4390480193904, 22792648882176, 66296291072, 0
OFFSET
1,8
LINKS
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, ...
0, 1, 2, 3, 4, ...
0, 4, 20, 54, 112, ...
0, 38, 624, 3834, 15104, ...
0, 728, 55248, 1027080, 9684224, ...
0, 26704, 13982208, 1067308488, 30458183680, ...
CROSSREFS
Columns k=1..4 give A000007(n-1), A001187, A054941, A003027.
Sequence in context: A309148 A351761 A226031 * A244116 A138133 A302937
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, May 28 2019
STATUS
approved