A152151 Riordan array [(1-x)exp(x/(1-x)),x].
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, 0, 1, 9276, 7315, 2856, 735, 140, 21, 0, 1, 93289, 74208, 29260, 7616, 1470, 224, 28, 0, 1, 1047376, 839601, 333936, 87780, 17136, 2646, 336, 36
Offset: 0
Examples
Triangle begins 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, 0, 1, 9276, 7315, 2856, 735, 140, 21, 0, 1, with production matrix which begins 0, 1, 1, 0, 1, 4, 2, 0, 1, 18, 12, 3, 0, 1, 96, 72, 24, 4, 0, 1, 600, 480, 180, 40, 5, 0, 1; 4320, 3600, 1440, 360, 60, 6, 1 with e.g.f. exp(x*t)(t+1/(1-x)^2).
Comments