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Search: id:A061648
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| A061648 |
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Area of all nondecreasing Dyck paths of length 2n. |
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+0
2
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| 1, 6, 29, 122, 464, 1648, 5583, 18280, 58337, 182480, 561686, 1706136, 5125069, 15249762, 45005309, 131871638, 383966228, 1111712440, 3202612347, 9184267060, 26229945521, 74631504716, 211620269834, 598168622352
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OFFSET
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1,2
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REFERENCES
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E. Barcucci, A. Del Lungo, S. Fezzi and R. Pinzani, Nondecreasing Dyck paths and q-Fibonacci numbers, Discrete Math., 170, 1997, 211-217.
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FORMULA
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G.f.: x(1-4x+8x^2-9x^3+2x^5)/((1-x)(1-3x+x^2)^3)
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CROSSREFS
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Sequence in context: A100874 A047923 A006816 this_sequence A111644 A081278 A054146
Adjacent sequences: A061645 A061646 A061647 this_sequence A061649 A061650 A061651
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KEYWORD
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nonn
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AUTHOR
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Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 14 2001
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