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A152148
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Riordan array [exp(-x/2)(1-2x)^(-1/4),x].
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1
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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
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OFFSET
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0,7
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COMMENTS
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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)).
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LINKS
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EXAMPLE
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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)).
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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