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A396999
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. exp(F^k(x)), where F(x) is the e.g.f. of A214645.
2
1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 7, 1, 1, 1, 4, 16, 38, 1, 1, 1, 5, 28, 126, 292, 1, 1, 1, 6, 43, 283, 1333, 2975, 1, 1, 1, 7, 61, 527, 3769, 17895, 38350, 1, 1, 1, 8, 82, 876, 8425, 62671, 293461, 604433, 1, 1, 1, 9, 106, 1348, 16306, 166778, 1255558, 5721390, 11351659, 1
OFFSET
0,9
FORMULA
See A396998.
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
1, 1, 1, 1, 1, 1, ...
1, 2, 3, 4, 5, 6, ...
1, 7, 16, 28, 43, 61, ...
1, 38, 126, 283, 527, 876, ...
1, 292, 1333, 3769, 8425, 16306, ...
...
CROSSREFS
Columns k=0..1 give A000012, A233335.
Sequence in context: A257493 A296526 A362377 * A259844 A112707 A196017
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Jun 13 2026
STATUS
approved