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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
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listen;
history;
text;
internal format)
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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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LINKS
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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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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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STATUS
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approved
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