OFFSET
0,3
FORMULA
G.f. of column k: 1/sqrt(1 - 4*x*(1+x)^k).
n*T(n,k) = 2 * Sum_{j=0..k} binomial(k,j)*(2*n-1-j)*T(n-1-j,k) for n > k.
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
2, 2, 2, 2, 2, 2, ...
6, 8, 10, 12, 14, 16, ...
20, 32, 46, 62, 80, 100, ...
70, 136, 226, 342, 486, 660, ...
252, 592, 1136, 1932, 3030, 4482, ...
PROG
(PARI) T(n, k) = sum(j=0, n, binomial(2*j, j)*binomial(k*j, n-j));
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Mar 26 2023
STATUS
approved