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Search: id:A069761
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| A069761 |
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Frobenius number of the numerical semigroup generated by four consecutive tetrahedral numbers. |
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+0
1
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| 41, 249, 253, 853, 1243, 11801, 13609, 18327, 27607, 28919, 41951, 49169, 54473, 67253, 90573, 94051, 124099
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The Frobenius number of a numerical semigroup generated by relatively prime integers a_1,...,a_n is the largest positive integer that is not a nonnegative linear combination of a_1,...,a_n. Since four consecutive tetrahedral numbers are relatively prime, they generate a numerical semigroup with a Frobenius number.
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REFERENCES
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R. Froberg, C. Gottlieb and R. Haggkvist, "On numerical semigroups", Semigroup Forum, 35 (1987), 63-83 (for definition of Frobenius number).
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EXAMPLE
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a(1)=41 because 41 is not a nonnegative linear combination of 4, 10, 20 and 35, but all integers greater than 43 are.
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CROSSREFS
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Cf. A000292, A037165, A059769, A069755-A069764.
Sequence in context: A098675 A056213 A068707 this_sequence A140848 A063939 A142113
Adjacent sequences: A069758 A069759 A069760 this_sequence A069762 A069763 A069764
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KEYWORD
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easy,nonn
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AUTHOR
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Victoria A Sapko (vsapko(AT)canes.gsw.edu), Apr 09 2002
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