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Search: id:A158206
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| A158206 |
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Number of irreducible numerical semigroups with Frobenius number n; that is, irreducible numerical semigroups for which the largest integer not belonging to them is n. |
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4
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| 1, 1, 1, 1, 2, 1, 3, 2, 3, 3, 6, 2, 8, 6, 7, 7, 15, 7, 20, 11, 18, 20, 36, 14, 44, 35, 45, 37, 83, 36, 109, 70, 101, 106, 174, 77, 246, 182, 227
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OFFSET
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1,5
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REFERENCES
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J. C. Rosales, P. A. Garcia-Sanchez, J. I. Garcia-Garcia and J. A. Jimenez-Madrid, Fundamental gaps in numerical semigroups, Journal of Pure and Applied Algebra 189 (2004) 301-313.
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LINKS
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S. R. Finch, Monoids of natural numbers
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EXAMPLE
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a(5)=2: the 2 irreducible semigroups generated by {3, 4} and {2, 7} have Frobenius number 5.
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CROSSREFS
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Cf. A124506
Sequence in context: A029164 A053262 A007359 this_sequence A164988 A115872 A133926
Adjacent sequences: A158203 A158204 A158205 this_sequence A158207 A158208 A158209
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KEYWORD
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nonn
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AUTHOR
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S. R. Finch (Steven.Finch(AT)inria.fr), Mar 13 2009
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