OFFSET
0,5
COMMENTS
Replace each number x in Pascal's triangle by x(x+1)/2. - Charlie Marion, May 31 2013
FORMULA
n-th row sum equals A005317(n) = (C(2n, n) + 2^n)/2.
EXAMPLE
Triangle begins:
1;
1,1;
1,3,1;
1,6,6,1;
1,10,21,10,1;
1,15,55,55,15,1;
1,21,120,210,120,21,1;
1,28,231,630,630,231,28,1; ...
PROG
(PARI) T(n, k)=binomial(n, k)*(binomial(n, k)+1)/2
CROSSREFS
KEYWORD
AUTHOR
Paul D. Hanna, May 21 2005
STATUS
approved