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 A117434 Expansion of c(x*y(1+x)), c(x) the g.f. of A000108. 4

%I

%S 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,

%T 0,0,0,56,420,792,429,0,0,0,0,14,420,1980,3003,1430,0,0,0,0,0,210,

%U 2640,9009,11440,4862,0,0,0,0,0,42,1980,15015,40040,43758,16796,0,0,0,0,0,0

%N Expansion of c(x*y(1+x)), c(x) the g.f. of A000108.

%C Row sums are A052709(n+1). Diagonal sums are A115178. Alternating sign version is A115179.

%F Number triangle T(n,k)=C(k)C(k,n-k).

%e Triangle begins

%e .1,

%e .0, 1,

%e .0, 1, 2,

%e .0, 0, 4, 5,

%e .0, 0, 2, 15, 14,

%e .0, 0, 0, 15, 56, 42,

%e .0, 0, 0, 5, 84, 210, 132,

%e .0, 0, 0, 0, 56, 420, 792, 429

%K easy,nonn,tabl

%O 0,6

%A _Paul Barry_, Mar 14 2006

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Last modified December 14 14:37 EST 2018. Contains 318098 sequences. (Running on oeis4.)