%I A117434
%S A117434 1,0,1,0,1,2,0,0,4,5,0,0,2,15,14,0,0,0,15,56,42,0,0,0,5,84,210,132,0,0,
%T A117434 0,0,56,420,792,429,0,0,0,0,14,420,1980,3003,1430,0,0,0,0,0,210,2640,
%U A117434 9009,11440,4862,0,0,0,0,0,42,1980,15015,40040,43758,16796,0,0,0,0,0,0
%N A117434 Expansion of c(x*y(1+x)), c(x) the g.f. of A000108.
%C A117434 Row sums are A052709(n+1). Diagonal sums are A115178. Alternating sign 
               version is A115179.
%F A117434 Number triangle T(n,k)=C(k)C(k,n-k).
%e A117434 Triangle begins
%e A117434 .1,
%e A117434 .0, 1,
%e A117434 .0, 1, 2,
%e A117434 .0, 0, 4, 5,
%e A117434 .0, 0, 2, 15, 14,
%e A117434 .0, 0, 0, 15, 56, 42,
%e A117434 .0, 0, 0, 5, 84, 210, 132,
%e A117434 .0, 0, 0, 0, 56, 420, 792, 429
%Y A117434 Sequence in context: A107498 A094295 A085969 this_sequence A115179 A131742 
               A056676
%Y A117434 Adjacent sequences: A117431 A117432 A117433 this_sequence A117435 A117436 
               A117437
%K A117434 easy,nonn,tabl
%O A117434 0,6
%A A117434 Paul Barry (pbarry(AT)wit.ie), Mar 14 2006