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Search: id:A059027
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| A059027 |
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Number of Dyck paths with no peak at height 4. |
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+0
2
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| 1, 1, 2, 5, 13, 35, 97, 276, 805, 2404, 7343, 22916, 72980, 236857, 782275, 2625265, 8938718, 30834165, 107608097, 379454447, 1350434278, 4845475311, 17512579630, 63703732426, 233063976059, 857067469749, 3166309373615, 11745982220846
(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_4(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.: (2-3*x+x*(1-4*x)^(1/2))/(2-5*x+x*(1-4*x)^(1/2)).
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EXAMPLE
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1 + x + 2*x^2 + 5*x^3 + 13*x^4 + 35*x^5 + 97*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: A085281 A082582 A086581 this_sequence A025198 A037247 A126221
Adjacent sequences: A059024 A059025 A059026 this_sequence A059028 A059029 A059030
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KEYWORD
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nonn
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AUTHOR
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njas, Feb 12 2001
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