Search: id:A159965
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%I A159965
%S A159965 1,2,1,6,5,1,20,21,8,1,70,84,45,11,1,252,330,220,78,14,1,924,1287,1001,
%T A159965 455,120,17,1,3432,5005,4368,2380,816,171,20,1,12870,19448,18564,11628,
%U A159965 4845,1330,231,23,1,48620,75582,77520,54264,26334,8855,2024,300,26,1
%N A159965 Riordan array (1/sqrt(1-4x), (1-2x-(1-3x)c(x))/(x*sqrt(1-4x))), c(x) 
               the g.f. of A000108.
%C A159965 Product of A007318 and A114422. Product of A007318^2 and A116382. Row 
               sums are A108080.
%C A159965 Diagonal sums are A108081.
%F A159965 Number triangle T(n,k)=sum{j=0..n, C(n+k,j-k)*C(n,j)}.
%e A159965 Triangle begins
%e A159965 1,
%e A159965 2, 1,
%e A159965 6, 5, 1,
%e A159965 20, 21, 8, 1,
%e A159965 70, 84, 45, 11, 1,
%e A159965 252, 330, 220, 78, 14, 1,
%e A159965 924, 1287, 1001, 455, 120, 17, 1,
%e A159965 3432, 5005, 4368, 2380, 816, 171, 20, 1
%Y A159965 Sequence in context: A046817 A008970 A055896 this_sequence A116395 A159924 
               A133367
%Y A159965 Adjacent sequences: A159962 A159963 A159964 this_sequence A159966 A159967 
               A159968
%K A159965 easy,nonn,tabl
%O A159965 0,2
%A A159965 Paul Barry (pbarry(AT)wit.ie), Apr 28 2009

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