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Search: id:A054577
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| A054577 |
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A Catalan-like sequence. |
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+0
1
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| 0, 1, 4, 11, 36, 115, 381, 1287, 4420, 15396, 54264, 193154, 693373, 2507287, 9124560, 33393355, 122821380, 453756765, 1683107800, 6265751310, 23402516280, 87670790155, 329337229104, 1240292449350, 4681874312509
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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Felix Goldberg, A problem relating to a family of Catalan-like sequences, forthcoming.
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FORMULA
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a(n) = Floor( 1/(n+k)*C(pn, n) ), where k=2, p=2.
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EXAMPLE
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a(6)=115 because 1/(6+2)*C(12,6) is 115.5 and taking the floor we obtain 115.
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CROSSREFS
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Cf. A000108, A054542.
Sequence in context: A052550 A114248 A149237 this_sequence A106640 A109268 A149238
Adjacent sequences: A054574 A054575 A054576 this_sequence A054578 A054579 A054580
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KEYWORD
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nonn
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AUTHOR
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Felix Goldberg (sgefelix(AT)t2.technion.ac.il), Apr 11 2000
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 12 2000
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