This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A069758 #10 Aug 15 2025 04:29:12
%S A069758 65,377,395,797,1589,6029,3347,4571,6035,10997,10979,12212,19409,
%T A069758 47246,24023,29003,35357,52112,50603,50411,73049,158207,78155,90203,
%U A069758 102005,144443,138467,131474,183077
%N A069758 Frobenius number of the numerical semigroup generated by three consecutive hexagonal numbers.
%C A069758 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.
%H A069758 R. Fröberg, C. Gottlieb and R. Häggkvist, <a href="https://gdz.sub.uni-goettingen.de/id/PPN362162808_0035">On numerical semigroups</a>, Semigroup Forum, 35 (1987), 63-83 (for definition of Frobenius number).
%e A069758 a(2)=65 because 65 is not a nonnegative linear combination of 6, 15 and 28, but all integers greater than 65 are.
%t A069758 FrobeniusNumber/@Partition[Table[n(2n-1),{n,2,35}],3,1] (* _Harvey P. Dale_, Jul 25 2011 *)
%Y A069758 Cf. A000384, A037165, A059769, A069755-A069764.
%K A069758 easy,nonn
%O A069758 2,1
%A A069758 Victoria A Sapko (vsapko(AT)canes.gsw.edu), Apr 08 2002