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%I #16 Jun 04 2014 17:03:56
%S 0,0,1,0,3,3,0,5,8,2,0,7,17,14,6,0,9,30,39,24,3,0,11,47,83,75,33,9,0,
%T 13,68,152,184,126,48,4,0,15,93,252,384,354,198,60,12,0,17,122,389,
%U 716,830,620,290,80,5,0,19,155,569,1229,1718,1610,1010,410,95,15
%N Triangle of a binomial convolution sum related to Jacobsthal numbers.
%C Row sum is A193449(n) = n*A001045(n+1).
%F T(n,k)= sum( (-1)^(j+k)*(j+k)*C(n-k+j,j), j=0..k).
%e Triangle starts:
%e 0;
%e 0, 1;
%e 0, 3, 3;
%e 0, 5, 8, 2;
%e 0, 7, 17, 14, 6;
%e 0, 9, 30, 39, 24, 3;
%e ...
%o (PARI) T(n,k)= sum(j=0, k, (-1)^(j+k)*(j+k)*binomial(n-k+j,j)); \\ _Michel Marcus_, Jun 04 2014
%Y Cf. A193449, A193450, A001045.
%K nonn,easy,tabl
%O 0,5
%A _Olivier Gérard_, Jul 26 2011
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