OFFSET
0,5
COMMENTS
LINKS
Paul D. Hanna, Rows n = 0..32, flattened.
FORMULA
EXAMPLE
A(x,y) = exp(x*y*exp(x*(y+1)*exp(x*(y+2)*exp(...exp(x*(n+y)*exp(...))...)))).
Triangle begins:
1;
0, 1;
0, 2, 3;
0, 15, 30, 16;
0, 244, 564, 444, 125;
0, 6885, 17540, 16680, 7320, 1296;
0, 298326, 817470, 877740, 478380, 136590, 16807;
0, 18377191, 53352138, 62582100, 39142600, 14146440, 2873136, 262144;
0, 1525885992, 4645224472, 5837707848, 4032207480, 1692155640, 441093240, 67558680, 4782969; ...
PROG
(PARI) {T(n, k)=local(A=exp(x)); for(i=1, n, A=exp(x*(n-i+y)*A+x*O(x^n)+y*O(y^k))); n!*polcoeff(polcoeff(A, k, y), n, x)}
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Paul D. Hanna, Jun 25 2004
STATUS
approved