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

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, 15, 0, 1, 30852, 17185, 4872, 945, 140, 21, 0, 1, 449113, 246816, 68740, 12992, 1890, 224, 28, 0, 1, 7432624, 4042017, 1110672, 206220

Offset: 0

Author

Paul Barry, Nov 26 2008

Keywords

• easy
• nonn
• tabl

Comments

Row sums are A002801. The Riordan array [exp(-x/m)(1-mx)^(-1/m^2),x] has production matrix with

e.g.f. exp(x*t)(t+1/(1-mx)).

Examples

			Triangle begins
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, 15, 0, 1
The production matrix of this array begins
0, 1,
1, 0, 1,
4, 2, 0, 1,
24, 12, 3, 0, 1,
192, 96, 24, 4, 0, 1;
1920, 960, 240, 40, 5, 1
and has e.g.f. exp(x*t)(t+1/(1-2x)).