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A054577
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A Catalan-like sequence.
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0
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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; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| Felix Goldberg, A problem relating to a family of Catalan-like sequences, forthcoming.
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FORMULA
| a(n) = Floor( 1/(n+k)*C(pn, n) ), where k=2, p=2.
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EXAMPLE
| 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
| Cf. A000108, A054542.
Sequence in context: A197626 A114248 A149237 * A206687 A106640 A109268
Adjacent sequences: A054574 A054575 A054576 * A054578 A054579 A054580
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KEYWORD
| nonn
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AUTHOR
| Felix Goldberg (sgefelix(AT)t2.technion.ac.il), Apr 11 2000
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 12 2000
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