login
A397001
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 A396996.
2
1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 8, 1, 1, 1, 4, 18, 57, 1, 1, 1, 5, 31, 174, 631, 1, 1, 1, 6, 47, 370, 2401, 9792, 1, 1, 1, 7, 66, 663, 6086, 43918, 198838, 1, 1, 1, 8, 88, 1071, 12641, 129264, 1013983, 5043587, 1, 1, 1, 9, 113, 1612, 23201, 306590, 3397296, 28550144, 154667896, 1
OFFSET
0,9
FORMULA
See A397000.
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
1, 1, 1, 1, 1, 1, ...
1, 2, 3, 4, 5, 6, ...
1, 8, 18, 31, 47, 66, ...
1, 57, 174, 370, 663, 1071, ...
1, 631, 2401, 6086, 12641, 23201, ...
...
CROSSREFS
Columns k=0..1 give A000012, A396997.
Sequence in context: A112707 A196017 A343555 * A251660 A279453 A054252
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Jun 13 2026
STATUS
approved