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A332601
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An RNA-type Riordan lower-triangular matrix, read by rows.
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1
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1, 1, 1, 2, 2, 1, 4, 4, 3, 1, 8, 9, 7, 4, 1, 17, 20, 17, 11, 5, 1, 37, 45, 41, 29, 16, 6, 1, 82, 103, 98, 75, 46, 22, 7, 1, 185, 238, 235, 190, 127, 69, 29, 8, 1, 423, 555, 565, 477, 340, 203, 99, 37, 9, 1, 978, 1305, 1362, 1192, 893, 573, 310, 137, 46, 10, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,4
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LINKS
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He, Tian-Xiao. "A-sequences, Z-sequence, and B-sequences of Riordan matrices." Discrete Mathematics 343.3 (2020): 111718. Also arXiv:1909.02639.
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EXAMPLE
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Triangle begins:
1;
1, 1;
2, 2, 1;
4, 4, 3, 1;
8, 9, 7, 4, 1;
17, 20, 17, 11, 5, 1;
37, 45, 41, 29, 16, 6, 1;
...
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PROG
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(PARI) \\ ColGf gives the g.f. of the k-th column.
ColGf(k, n)={my(g=(1 - x + x^2 - sqrt(1 - 2*x - x^2 - 2*x^3 + x^4 + O(x^(n-k+4))))/(2*x^2)); (g - 1)/x*(x*g)^k}
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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