A152150 - OEIS

%I #2 Mar 30 2012 18:59:21

%S 1,0,1,1,0,1,0,3,0,1,9,0,6,0,1,0,45,0,10,0,1,105,0,135,0,15,0,1,0,735,

%T 0,315,0,21,0,1,2625,0,2940,0,630,0,28,0,1,0,23625,0,8820,0,1134,0,36,

%U 0,1,76545,0,118125,0

%N Riordan array [exp(x^2/2+x^4/4),x].

%C Row sums are A001472.

%e Triangle begins

%e 1,

%e 0, 1,

%e 1, 0, 1,

%e 0, 3, 0, 1,

%e 9, 0, 6, 0, 1,

%e 0, 45, 0, 10, 0, 1,

%e 105, 0, 135, 0, 15, 0, 1,

%e 0, 735, 0, 315, 0, 21, 0, 1

%e with production matrix which begins

%e 0, 1,

%e 1, 0, 1,

%e 0, 2, 0, 1,

%e 6, 0, 3, 0, 1,

%e 0, 24, 0, 4, 0, 1;

%e 120, 0, 60, 0, 5, 1

%e with e.g.f. exp(x*t)(t+1/(1-x^2)).

%K easy,nonn,tabl

%O 0,8

%A _Paul Barry_, Nov 26 2008