OFFSET
1,7
FORMULA
T(n, k) = Sum{E(n, i)}, k<=i<=n, E given by A027186.
G.f. of column k: Sum_{i>=0} x^(2*k*i)/Product_{j=1..2*i} (1-x^j). - Seiichi Manyama, May 15 2023
EXAMPLE
Triangle begins:
0;
1, 0;
1, 0, 0;
3, 1, 0, 0;
3, 1, 0, 0, 0;
6, 2, 1, 0, 0, 0;
7, 2, 1, 0, 0, 0, 0;
12, 4, 2, 1, 0, 0, 0, 0;
14, 4, 2, 1, 0, 0, 0, 0, 0;
22, 6, 3, 2, 1, 0, 0, 0, 0, 0;
27, 7, 3, 2, 1, 0, 0, 0, 0, 0, 0;
40, 11, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0;
49, 12, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0;
PROG
(PARI) T(n, k) = polcoef(sum(i=0, n, x^(2*k*i)/prod(j=1, 2*i, 1-x^j+x*O(x^n))), n); \\ Seiichi Manyama, May 15 2023
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
EXTENSIONS
More terms from Seiichi Manyama, May 15 2023
STATUS
approved