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 A337217 #10 Aug 20 2020 11:34:58 %S A337217 1,3,5,7,11,15,21,23,29,35,39,71,95 %N A337217 One half of the even numbers of A094739. %C A337217 This finite sequence a(n), for n = 1, 2, ..., 13, appears as eq. (2.3) given by Kaplansky on p. 87. %C A337217 It enters Theorem 2.1 of Kaplansky, p. 87, with proof on p. 90 (here reformulated): The positive integers uniquely represented by x^2 + y^2 + 2*z^2, with 0 <= x <= y and 0 <= z, consist of the 13 numbers a(n) and 4^k*6 = A002023(k), for integers k >= 0. See a comment in A002023 for this uniquely representable positive integers of this ternary form. %C A337217 It also enters Theorem 2.3 of Kaplansky, p. 88, with proof on p.91 (here reformulated): The positive integers uniquely represented by x^2 + 2*y^2 + 4*z^2, with nonnegative integers x, y, z consist of the 13 odd numbers a(n) and the four even numbers 2, 10, 26, and 74. This is the finite sequence %C A337217 1, 2, 3, 5, 7, 10, 11, 15, 21, 23, 26, 29, 35, 39, 71, 74, 95. %D A337217 Irving Kaplansky, Integers Uniquely Represented by Certain Ternary Forms, in "The Mathematics of Paul Erdős I", Ronald. L. Graham and Jaroslav Nešetřil (Eds.), Springer, 1997, pp. 86 - 94. %Y A337217 Cf. A002023, A094739, A337218. %K A337217 nonn,fini,full %O A337217 1,2 %A A337217 _Wolfdieter Lang_, Aug 20 2020