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%I #8 Feb 10 2021 08:11:14
%S 65,377,395,797,1589,6029,3347,4571,6035,10997,10979,12212,19409,
%T 47246,24023,29003,35357,52112,50603,50411,73049,158207,78155,90203,
%U 102005,144443,138467,131474,183077
%N Frobenius number of the numerical semigroup generated by three consecutive hexagonal numbers.
%C 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.
%D R. Fröberg, C. Gottlieb and R. Häggkvist, "On numerical semigroups", Semigroup Forum, 35 (1987), 63-83 (for definition of Frobenius number).
%e a(2)=65 because 65 is not a nonnegative linear combination of 6, 15 and 28, but all integers greater than 65 are.
%t FrobeniusNumber/@Partition[Table[n(2n-1),{n,2,35}],3,1] (* _Harvey P. Dale_, Jul 25 2011 *)
%Y Cf. A000384, A037165, A059769, A069755-A069764.
%K easy,nonn
%O 2,1
%A Victoria A Sapko (vsapko(AT)canes.gsw.edu), Apr 08 2002
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