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.

A167437 Positive integers c such that c^2 = a + b and a^2 + b^2 = m^4 for some coprime integers a, b, m.

This page as a plain text file.
%I A167437 #9 Nov 04 2022 20:11:27
%S A167437 1,1343,2372159,9788425919,5705771236038721,17999572487701067948161,
%T A167437 173658539553825212149513251457,
%U A167437 75727152767742719949099952561135816319,437825148963391521638828389137484882137402791039
%N A167437 Positive integers c such that c^2 = a + b and a^2 + b^2 = m^4 for some coprime integers a, b, m.
%C A167437 Corresponding values of m are given in A166929 - see it for further details.
%C A167437 Terms with positive a, b are given in A167438.
%C A167437 This is the absolute value of a bisection of a generalized Somos-5 sequence. - _Michael Somos_, Nov 04 2022
%o A167437 (PARI) {a(n) = local(x, v); n = abs(2*n+1); (x = m-> v[abs(m)+1]); v = vector(max(3, n+1), m, 1); v[3] = -3; for(k=3, n, v[k+1] = -(13*x(k-1)*x(k-4) + 42*x(k-2)*x(k-3)) / x(k-5)); abs(x(n))}; /* _Michael Somos_, Nov 04 2022 */
%K A167437 nonn
%O A167437 1,2
%A A167437 _Max Alekseyev_, Nov 03 2009