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 A069758 Frobenius number of the numerical semigroup generated by three consecutive hexagonal numbers. 0
 65, 377, 395, 797, 1589, 6029, 3347, 4571, 6035, 10997, 10979, 12212, 19409, 47246, 24023, 29003, 35357, 52112, 50603, 50411, 73049, 158207, 78155, 90203, 102005, 144443, 138467, 131474, 183077 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS 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 three consecutive hexagonal numbers are relatively prime, they generate a numerical semigroup with a Frobenius number. REFERENCES R. Fröberg, C. Gottlieb and R. Häggkvist, "On numerical semigroups", Semigroup Forum, 35 (1987), 63-83 (for definition of Frobenius number). LINKS Table of n, a(n) for n=2..30. EXAMPLE a(2)=65 because 65 is not a nonnegative linear combination of 6, 15 and 28, but all integers greater than 65 are. MATHEMATICA FrobeniusNumber/@Partition[Table[n(2n-1), {n, 2, 35}], 3, 1] (* Harvey P. Dale, Jul 25 2011 *) CROSSREFS Cf. A000384, A037165, A059769, A069755-A069764. Sequence in context: A319617 A300162 A211259 * A116678 A218845 A219424 Adjacent sequences: A069755 A069756 A069757 * A069759 A069760 A069761 KEYWORD easy,nonn AUTHOR Victoria A Sapko (vsapko(AT)canes.gsw.edu), Apr 08 2002 STATUS approved

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