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A256411
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Triangle read by rows: T(n,k) (1 <= k <= n) = number of ascendingly generated semigroups of order n with k generators.
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1
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1, 2, 8, 3, 37, 113, 4, 145, 1257, 3492, 5, 452, 9020, 67394, 183732, 6, 1374, 60826, 938194, 6398792, 17061118, 7, 3933, 356023, 30492722, 466578957, 3032145644, 7743056064
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..28.
Alex Bailey, Martin Finn-Sell, Robert Snocken, Subsemigroup, ideal and congruence growth of free semigroups, arXiv preprint arXiv:1409.2444, 2014
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EXAMPLE
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Triangle begins:
1,
2,8,
3,37,113,
4,145,1257,3492,
5,452,9020,67394,183732,
6,1374,60826,938194,6398792,17061118,
7,3933,356023,30492722,466578957,3032145644,7743056064,
...
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CROSSREFS
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Main diagonal is A023814. Column 2 is A256412.
Sequence in context: A292930 A126951 A282637 * A218609 A268491 A076588
Adjacent sequences: A256408 A256409 A256410 * A256412 A256413 A256414
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KEYWORD
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nonn,tabl
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AUTHOR
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N. J. A. Sloane, Apr 03 2015
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STATUS
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approved
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