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 A035267 #44 Jul 21 2023 16:35:04
%S A035267 1,3,4,7,9,11,12,16,21,25,27,28,33,36,37,41,44,47,48,49,53,63,64,67,
%T A035267 71,73,75,77,81,83,84,99,100,101,107,108,111,112,121,123,127,132,137,
%U A035267 139,141,144,147,148,149,151,157,159,164,169,173,175,176,181,188
%N A035267 Indices of nonzero terms in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m= 37.
%C A035267 Positive numbers represented by the indefinite quadratic form 3x^2+xy-3y^2, of discriminant 37. - _N. J. A. Sloane_, Jun 05 2014 [Typo corrected by _Klaus Purath_, Apr 24 2023]
%C A035267 Also positive numbers of the form x^2 + (2m+1)xy + (m^2+m-9)y^2, m, x, y integers. All squares as well as the products of any terms belong to the sequence. Thus, this set of terms is closed under multiplication. - _Klaus Purath_, Apr 24 2023
%C A035267 A positive integer k belongs to the sequence if and only if k (modulo 37) is a term of A010398 and, moreover, in the case that prime factors p of k are terms of A038914, they occur only with even exponents. Or, more briefly, any positive integer is a term of this sequence if none of its divisors is an odd power of primes from A038914. For these primes also p (modulo 37) = {2, 5, 6, 8, 13, ...} = A028750 applies. - _Klaus Purath_, May 12 2023
%H A035267 N. J. A. Sloane et al., <a href="https://oeis.org/wiki/Binary_Quadratic_Forms_and_OEIS">Binary Quadratic Forms and OEIS</a> (Index to related sequences, programs, references)
%t A035267 Reap[For[n = 0, n <= 100, n++, If[ Reduce[ 3*x^2 + x*y - 3*y^2 == n, {x, y}, Integers] =!= False, Sow[n]]]][[2, 1]] (* _N. J. A. Sloane_, Jun 05 2014 *)
%o A035267 (PARI) m=37; select(x -> x, direuler(p=2,101,1/(1-(kronecker(m,p)*(X-X^2))-X)), 1) \\ Fixed by _Andrey Zabolotskiy_, Jul 30 2020
%Y A035267 For primes see A141178.
%Y A035267 Cf. A035219.
%K A035267 nonn
%O A035267 1,2
%A A035267 _N. J. A. Sloane_
%E A035267 More terms from _Colin Barker_, Jun 17 2014