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A167749
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Riordan array (1,xf(x)) where f(x) is the g.f. of A005169 (fountains of coins).
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2
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1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 3, 3, 1, 0, 3, 6, 6, 4, 1, 0, 5, 11, 13, 10, 5, 1, 0, 9, 20, 27, 24, 15, 6, 1, 0, 15, 38, 54, 55, 40, 21, 7, 1, 0, 26, 70, 109, 120, 100, 62, 28, 8, 1, 0, 45, 129, 216, 258, 236, 168, 91, 36, 9, 1, 0, 78, 238, 423, 544, 540, 426, 266, 128, 45, 10, 1
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OFFSET
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0,9
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COMMENTS
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LINKS
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FORMULA
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G.f.: 1/(1-xy/(1-x/(1-x^2/(1-x^3/(1-x^4/(1-... (continued fraction).
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EXAMPLE
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Triangle begins
1,
0, 1,
0, 1, 1,
0, 1, 2, 1,
0, 2, 3, 3, 1,
0, 3, 6, 6, 4, 1,
0, 5, 11, 13, 10, 5, 1,
0, 9, 20, 27, 24, 15, 6, 1,
0, 15, 38, 54, 55, 40, 21, 7, 1,
0, 26, 70, 109, 120, 100, 62, 28, 8, 1,
0, 45, 129, 216, 258, 236, 168, 91, 36, 9, 1,
0, 78, 238, 423, 544, 540, 426, 266, 128, 45, 10, 1,
0, 135, 437, 824, 1127, 1205, 1035, 721, 402, 174, 55, 11, 1
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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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