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A026008
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T(n, [n/2]), where T = Catalan triangle (A008315).
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2
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1, 1, 2, 3, 5, 9, 14, 28, 42, 90, 132, 297, 429, 1001, 1430, 3432, 4862, 11934, 16796, 41990, 58786, 149226, 208012, 534888, 742900, 1931540, 2674440, 7020405, 9694845, 25662825, 35357670, 94287120, 129644790, 347993910, 477638700, 1289624490, 1767263190
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| a(n) = number of Catalan paths in Quadrant I from (0,0) to (n, GCD(n,2)). - Clark Kimberling (ck6(AT)evansville.edu), Jun 26 2004
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FORMULA
| a(2n) = C(2n+2, n+1)/(n+2), a(2n+1) = 3C(2n+2, n)/(n+3). - R. Stephan, Apr 30 2004
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CROSSREFS
| a(2n) = A000108(n+1), a(2n+1) = A000245(n+1).
Sequence in context: A018155 A032089 A105044 * A101461 A085897 A067798
Adjacent sequences: A026005 A026006 A026007 * A026009 A026010 A026011
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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