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A256038
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Triangle read by rows: number of R-class idempotent basis elements of rank k in Brauer monoid B_n.
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0
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1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 4, 0, 1, 0, 8, 0, 6, 0, 1, 0, 0, 24, 0, 8, 0, 1, 0, 48, 0, 48, 0, 10, 0, 1, 0, 0, 192, 0, 80, 0, 12, 0, 1, 0, 384, 0, 480, 0, 120, 0, 14, 0, 1, 0, 0, 1920, 0, 168, 0, 195, 0, 16, 0, 1
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OFFSET
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0,8
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LINKS
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Table of n, a(n) for n=0..65.
I. Dolinka, J. East, A. Evangelou, D. FitzGerald, N. Ham, et al., Enumeration of idempotents in diagram semigroups and algebras, arXiv preprint arXiv:1408.2021, 2014.
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EXAMPLE
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Triangle begins:
1,
0, 1,
0, 0, 1,
0, 2, 0, 1,
0, 0, 4, 0, 1,
0, 8, 0, 6, 0, 1,
0, 0, 24, 0, 8, 0, 1,
0, 48, 0, 48, 0, 10, 0, 1,
0, 0, 192, 0, 80, 0, 12, 0, 1,
0, 384, 0, 480, 0, 120, 0, 14, 0, 1,
0, 0, 1920, 0, 168, 0, 195, 0, 16, 0, 1,
...
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CROSSREFS
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Sequence in context: A036853 A036852 A260941 * A050327 A075120 A111593
Adjacent sequences: A256035 A256036 A256037 * A256039 A256040 A256041
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KEYWORD
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nonn,tabl
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AUTHOR
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N. J. A. Sloane, Mar 14 2015
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STATUS
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approved
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