OFFSET
0,2
FORMULA
T(n, k) = Sum_{0<=j<=k} t(n, j), array t as in A039598.
T(n, k) = binomial(2*n+1, n+1) - binomial(2*n+1, n-k-1). Peter Luschny, Dec 22 2017
EXAMPLE
Triangle starts:
1
2, 3
5, 9, 10
14, 28, 34, 35
42, 90, 117, 125, 126
132, 297, 407, 451, 461, 462
429, 1001, 1430, 1638, 1703, 1715, 1716
MAPLE
A050158 := (n, k) -> binomial(2*n+1, n+1) - binomial(2*n+1, n-k-1):
seq(seq(A050158(n, k), k=0..n), n=0..6); # Peter Luschny, Dec 22 2017
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
STATUS
approved