cp's OEIS Frontend

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.

A086389 Number of factors over Q in the factorization of U_n(x) - 1 where U_n(x) is the Chebyshev polynomial of the second kind.

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%I A086389 #9 Dec 20 2022 01:40:33
%S A086389 1,1,2,3,2,3,3,4,3,4,2,6,4,3,4,6,2,6,4,6,4,4,3,8,5,4,4,8,2,7,4,6,6,5,
%T A086389 4,9,4,4,4,10,2,8,6,6,6,4,3,11,5,6,4,8,4,8,6,8,4,6,2,12,6,3,8,9,4,8,4,
%U A086389 8,4,9,2,12,6,4,8,8,4,8,5,10,5,6,4,12,6
%N A086389 Number of factors over Q in the factorization of U_n(x) - 1 where U_n(x) is the Chebyshev polynomial of the second kind.
%H A086389 Gerzson Kéri, <a href="http://ac.inf.elte.hu/Vol_053_2022/093_53.pdf">The factorization of compressed Chebyshev polynomials and other polynomials related to multiple-angle formulas</a>, Annales Univ. Sci. Budapest (Hungary, 2022) Sect. Comp., Vol. 53, 93-108.
%o A086389 (PARI) a(n)={vecsum(factor(polchebyshev(n,2,x)-1)[,2])} \\ _Andrew Howroyd_, Jul 10 2018
%Y A086389 Cf. A086375.
%K A086389 nonn
%O A086389 1,3
%A A086389 Yuval Dekel (dekelyuval(AT)hotmail.com), Sep 08 2003
%E A086389 a(21)-a(85) from _Andrew Howroyd_, Jul 10 2018