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Search: id:A059019
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| A059019 |
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Number of Dyck paths with no peak at height 3. |
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+0
3
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| 1, 1, 2, 4, 9, 22, 58, 163, 483, 1494, 4783, 15740, 52956, 181391, 630533, 2218761, 7888266, 28291588, 102237141, 371884771, 1360527143, 5002837936, 18479695171, 68539149518, 255137783916, 952914971191, 3569834343547, 13410481705795
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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Peart and Woan, in press, G_3(x).
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LINKS
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P. Peart and W.-J. Woan, Dyck Paths With No Peaks at Height k, J. Integer Sequences, 4 (2001), #01.1.3.
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FORMULA
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G.f.: 2/(2-3*x+x*(1-4*x)^(1/2)).
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EXAMPLE
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1 + x + 2*x^2 + 4*x^3 + 9*x^4 + 22*x^5 + 58*x^6 + ...
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CROSSREFS
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G_1, G_2, G_3, G_4 give A000957, A000108, A059019, A059027 resp.
Sequence in context: A105633 A099241 A124380 this_sequence A121953 A024427 A092920
Adjacent sequences: A059016 A059017 A059018 this_sequence A059020 A059021 A059022
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Feb 12 2001
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