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%I #6 Feb 10 2021 08:12:27
%S 51,191,609,1324,2813,4711,8576,13894,23319,34165,51661,71126,100529,
%T 136239,187543,241586,321251,404839,516704,645358
%N Frobenius number of the numerical semigroup generated by three consecutive pyramidal numbers.
%C 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 pyramidal 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)=51 because 51 is not a nonnegative linear combination of 5, 14 and 30, but all integers greater than 51 are.
%Y Cf. A000330, A037165, A059769, A069755-A069764.
%K easy,nonn
%O 0,1
%A Victoria A Sapko (vsapko(AT)canes.gsw.edu), Apr 18 2002
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