cp's OEIS Frontend

A152151 Riordan array [(1-x)exp(x/(1-x)),x].

%I A152151 #4 Jul 22 2025 06:15:59
%S A152151 1,0,1,1,0,1,4,3,0,1,21,16,6,0,1,136,105,40,10,0,1,1045,816,315,80,15,
%T A152151 0,1,9276,7315,2856,735,140,21,0,1,93289,74208,29260,7616,1470,224,28,
%U A152151 0,1,1047376,839601,333936,87780,17136,2646,336,36
%N A152151 Riordan array [(1-x)exp(x/(1-x)),x].
%C A152151 First column is essentially A052852.
%e A152151 Triangle begins
%e A152151 1,
%e A152151 0, 1,
%e A152151 1, 0, 1,
%e A152151 4, 3, 0, 1,
%e A152151 21, 16, 6, 0, 1,
%e A152151 136, 105, 40, 10, 0, 1,
%e A152151 1045, 816, 315, 80, 15, 0, 1,
%e A152151 9276, 7315, 2856, 735, 140, 21, 0, 1,
%e A152151 with production matrix which begins
%e A152151 0, 1,
%e A152151 1, 0, 1,
%e A152151 4, 2, 0, 1,
%e A152151 18, 12, 3, 0, 1,
%e A152151 96, 72, 24, 4, 0, 1,
%e A152151 600, 480, 180, 40, 5, 0, 1;
%e A152151 4320, 3600, 1440, 360, 60, 6, 1
%e A152151 with e.g.f. exp(x*t)(t+1/(1-x)^2).
%K A152151 easy,nonn,tabl
%O A152151 0,7
%A A152151 _Paul Barry_, Nov 26 2008