OFFSET
1,8
LINKS
Seiichi Manyama, Antidiagonals n = 1..140, flattened
FORMULA
G.f. B(x) satisfies B(x) = x*(1 + B^l(x)), where B^l(x) denotes the l-th iterate of B.
Let a(n,k,l) = [x^n] B^k(x), where B^k(x) is the k-th iterate of B.
a(n,0,l) = 0^(n-1) and a(n,k,l) = a(n,k-1,l) + Sum_{j=1..n-1} a(j,k+l-1,l) * a(n-j,k-1,l) for k > 0.
A(n,k) = a(n,k,6).
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, 1, ...
0, 1, 2, 3, 4, 5, 6, ...
0, 6, 14, 24, 36, 50, 66, ...
0, 66, 163, 297, 474, 700, 981, ...
0, 981, 2496, 4711, 7816, 12025, 17576, ...
0, 17576, 45577, 88073, 150144, 238000, 359101, ...
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Jun 13 2026
STATUS
approved