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 A345894 #32 Jan 26 2022 21:03:50 %S A345894 1,16,61,81,256,625,976,1296,2401,4096,4941,6561,10000,14641,15616, %T A345894 20736,28561,38125,38416,50625,65536,79056,83521,104976,130321,146461, %U A345894 160000,194041,194481,229981,234256,249856,279841,331776,390625,400221,456976,531441 %N A345894 Positive integers representable by the two cyclotomic binary forms Phi_5(x,y) and Phi_12(u,v). %C A345894 Positive integers C such that Phi_5(x,y) = Phi_12(u,v) = C has a solution with nonzero (x,y,u,v). %C A345894 A cyclotomic binary form over Z is a homogeneous polynomial in two variables which has the form f(x, y) = y^EulerPhi(k)*CyclotomicPolynomial(k, x/y) where k is some integer >= 3. An integer n is represented by f if f(x,y) = n has an integer solution. %H A345894 Étienne Fouvry, Claude Levesque and Michel Waldschmidt, <a href="https://arxiv.org/abs/1712.09019">Representation of integers by cyclotomic binary forms</a>, arXiv:1712.09019 [math.NT], 2017. %e A345894 Phi_5(1,-3) = 1^4 + 1^3*(-3) + 1^2*(-3)^2 + 1*(-3)^3 + (-3)^4 = 1 - 3 + 9 - 27 + 81 = 61 and Phi_12(2, 3) = 2^4 - 2^2*3^2 + 3^4 = 16 - 36 + 81 = 61, so 61 is a term. %Y A345894 Cf. A296095. %K A345894 nonn %O A345894 1,2 %A A345894 _Shashi Kant Pandey_, Jul 23 2021 %E A345894 a(8)-a(38) from _Jon E. Schoenfield_, Jul 24 2021