OFFSET
0,5
COMMENTS
FORMULA
T(n,k) = Sum_{j=k..min(2*k,n)} C(n,j).
EXAMPLE
T(5,2) = C(5,2) + C(5,3) + C(5,4) = 10 + 10 + 5 = 25.
First few rows of the triangle are:
1
1 1
1 3 1
1 6 4 1
1 10 11 5 1
1 15 25 16 6 1
MAPLE
T:= (n, k)-> add (binomial (n, j), j=k..min(2*k, n)): seq (seq (T(n, k), k=0..n), n=0..12);
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Nov 24 2006
EXTENSIONS
Edited with more terms and Maple program by Alois P. Heinz, Oct 16 2009
STATUS
approved