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A027302 a(n) = Sum{T(n,k)*T(n,k+1)}, 0<=k<=[ (n-1)/2 ], T given by A008315. 1
1, 2, 9, 24, 95, 286, 1099, 3536, 13479, 45220, 172150, 594320, 2265003, 7983990, 30487175, 109174560, 417812417, 1514797020, 5810065898, 21275014800, 81775140083, 301892460012 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

a(n) is the number of Dyck (n+2)-paths with UU spanning the midpoint. e.g. for n=2 the two Dyck 4-paths are UUDU.UDDD and UDUU.UDDD where dot marks the midpoint. [David Scambler (dscambler AT bmm.com)]

CROSSREFS

Sequence in context: A122006 A200086 A143561 * A073981 A006973 A137852

Adjacent sequences:  A027299 A027300 A027301 * A027303 A027304 A027305

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified February 14 13:08 EST 2012. Contains 205623 sequences.