OFFSET
1,3
COMMENTS
Row n contains floor(n/2+3/2) terms.
Row sums with alternate signs are 0.
LINKS
D. Beckwith, A Vanishing Alternating Sum: Problem 11212/11220, Amer. Math. Monthly 115, (2008), p. 366.
EXAMPLE
Triangle starts:
1,1;
4,4;
15,18,3;
56,18,3;
210,350,150,10;
MAPLE
T:=proc(n, r) options operator, arrow: binomial(n, r)*binomial(2*n-2*r, n-1) end proc: for n to 10 do seq(T(n, k), k=0..floor((1/2)*n+1/2)) end do; # yields sequence in triangular form
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Emeric Deutsch, Mar 30 2008
STATUS
approved