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A152148 Riordan array [exp(-x/2)(1-2x)^(-1/4),x].

%I A152148 #2 Mar 30 2012 18:59:21
%S A152148 1,0,1,1,0,1,4,3,0,1,27,16,6,0,1,232,135,40,10,0,1,2455,1392,405,80,
%T A152148 15,0,1,30852,17185,4872,945,140,21,0,1,449113,246816,68740,12992,
%U A152148 1890,224,28,0,1,7432624,4042017,1110672,206220
%N A152148 Riordan array [exp(-x/2)(1-2x)^(-1/4),x].
%C A152148 Row sums are A002801. The Riordan array [exp(-x/m)(1-mx)^(-1/m^2),x] has production matrix with
%C A152148 e.g.f. exp(x*t)(t+1/(1-mx)).
%e A152148 Triangle begins
%e A152148 1,
%e A152148 0, 1,
%e A152148 1, 0, 1,
%e A152148 4, 3, 0, 1,
%e A152148 27, 16, 6, 0, 1,
%e A152148 232, 135, 40, 10, 0, 1,
%e A152148 2455, 1392, 405, 80, 15, 0, 1
%e A152148 The production matrix of this array begins
%e A152148 0, 1,
%e A152148 1, 0, 1,
%e A152148 4, 2, 0, 1,
%e A152148 24, 12, 3, 0, 1,
%e A152148 192, 96, 24, 4, 0, 1;
%e A152148 1920, 960, 240, 40, 5, 1
%e A152148 and has e.g.f. exp(x*t)(t+1/(1-2x)).
%K A152148 easy,nonn,tabl
%O A152148 0,7
%A A152148 _Paul Barry_, Nov 26 2008