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A113337 Number of noncrossing partitions of [n] with all blocks of odd size and 1 and n in the same block. +0
1
0, 1, 0, 1, 2, 4, 10, 26, 68, 183, 504, 1408, 3982, 11386, 32856, 95551, 279778, 824124, 2440440, 7260888, 21694352 (list; graph; listen)
OFFSET

0,5

COMMENT

If we only require blocks of odd size we get A101785. If G is the ogf for A101785 then the ogf for this sequence is (G-1)/G.

EXAMPLE

a(4)=4 with the 4 partitions being 125/3/4, 135/2/4, 145/2/3, and 12345

CROSSREFS

Cf. A101785.

Sequence in context: A095337 A052995 A055819 this_sequence A084575 A081881 A134773

Adjacent sequences: A113334 A113335 A113336 this_sequence A113338 A113339 A113340

KEYWORD

nonn

AUTHOR

Lou Shapiro (lshapiro(AT)howard.edu), Jan 07 2006

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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