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A136868
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Table read by antidiagonals: T(n,k) is the number of connected directed multigraphs with loops with n arcs and k vertices, which are transitive (the existence of a path between two points implies the existence of an arc between those two points).
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1
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1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 4, 1, 0, 1, 2, 6, 7, 1, 0, 1, 2, 6, 14, 12, 1, 0, 1, 2, 6, 17
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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COMMENTS
| Partial sums of the rows of A139624, i.e., T(n,k) = sum(T139624(n,p),p=0..k).
T(0,k) = 1 for k>=0; T(n,0) = 0 and T(n,1) = 1 for n>0.
If k>=n+1, T(n,k) = A139629(n).
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EXAMPLE
| Triangle begins:
1,
1, 0,
1, 1, 0,
1, 2, 1, 0,
1, 2, 4, 1, 0,
1, 2, 6, 7, 1, 0,
1, 2, 6,14,12, 1, 0,
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CROSSREFS
| Cf. A138352.
Sequence in context: A062329 A022958 A023444 * A145895 A114503 A103528
Adjacent sequences: A136865 A136866 A136867 * A136869 A136870 A136871
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KEYWORD
| more,nonn,tabl
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AUTHOR
| Benoit Jubin (benoit_jubin(AT)yahoo.fr), May 11 2008
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