OFFSET
0,5
FORMULA
T(n,n) = A082545(n).
EXAMPLE
Square array starts:
[n\k][0 1 2 3 4 5 6]
[0] 1, 1, 1, 1, 1, 1, 1, ...
[1] 1, 3, 5, 7, 9, 11, 13, ...
[2] 1, 5, 21, 49, 89, 141, 205, ...
[3] 1, 7, 43, 229, 685, 1531, 2887, ...
[4] 1, 9, 73, 529, 3393, 12361, 32809, ...
[5] 1, 11, 111, 1021, 8501, 63591, 272851, ...
[6] 1, 13, 157, 1753, 18001, 169021, 1442173, ...
The first few rows as a triangle:
1
1, 1
1, 3, 1
1, 5, 5, 1
1, 7, 21, 7, 1
1, 9, 43, 49, 9, 1
1, 11, 73, 229, 89, 11, 1
MAPLE
T := (n, k) -> k!*coeff(series(exp(x)*add(binomial(2*n, j)*x^j, j=0..n), x, k+1), x, k): for n from 0 to 6 do lprint(seq(T(n, k), k=0..6)) od;
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Jan 18 2015
STATUS
approved