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 A364314 #14 Jul 27 2023 08:28:39
%S A364314 1,1,3,5,14,26,57
%N A364314 Number of polynomials (with nonnegative coefficients) of Cantor's height n and degree k (in the range {1, 2, ..., n-1}), for n >= 2; and for n = 1 the degree is k = 1.
%C A364314 For details on the recorded integer polynomials and their coefficients see A364312.
%e A364314 a(3) = 3 because the coefficients in A364312 are [2, 1], [1, 2], for
%e A364314 degree k = 1, and [1, 0, 1], for degree k = 2, and the three polynomials are 2*x + 1, x + 2, and x^2 + 1.
%e A364314 For the counting of algebraic numbers one also has to use the signed versions with leading sign +, and consider only irreducible polynomials. Therefore, if only real algebraic numbers are considered, [1, 0, 1] does not qualify, because it leads to a pair of complex conjugate roots, and the signed version [1, 0, -1] gives a reducible polynomial.
%Y A364314 Cf. A364312, A364313.
%K A364314 nonn,more
%O A364314 1,3
%A A364314 _Wolfdieter Lang_, Jul 19 2023