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.

A255246 Fundamental positive solution y = y1(n) of the first class of the Pell equation x^2 - 2*y^2 = -A038873(n), n>=1 (primes congruent to {1,2,7} mod 8).

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%I A255246 #13 Feb 26 2015 04:01:38
%S A255246 3,2,3,4,4,5,6,6,7,8,7,7,8,9,8,9,10,12,10,11,10,14,11,12,11,13,12,14,
%T A255246 15,14,13,13,17,18,14,14,15,17,16,19,20,15,17,16,18,16,16,21,17,17,21,
%U A255246 18,19,22,23,20,19,18,19,20,26,22,20,21,23,25,26,28,21
%N A255246 Fundamental positive solution y = y1(n) of the first class of the Pell equation x^2 - 2*y^2 = -A038873(n), n>=1 (primes congruent to {1,2,7} mod 8).
%C A255246 For the corresponding term x1(n) see A255235(n).
%C A255246 For the primes 1 (mod 8) see A154935, and for the primes 7 (mod 8) see 2*A255232.
%C A255246 See A254934 and A254938 also for the derivation based on the Nagell reference given there.
%F A255246 A255235(n)^2 - 2*a(n)^2 = -A038873(n) gives the smallest positive (proper) solution of this (generalized) Pell equation.
%e A255246 See A255235.
%e A255246 n = 1: 4^2 - 2*3^2 = -2 = -A038873(1),
%e A255246 n = 3: 1^2 - 2*3^2 = 1 - 18 = -17 = -A038873(3).
%Y A255246 Cf. A038873, A255235, A255247, A255248, A254935, 2*A255232, A002335.
%K A255246 nonn,easy
%O A255246 1,1
%A A255246 _Wolfdieter Lang_, Feb 25 2015
%E A255246 More terms from _Colin Barker_, Feb 26 2015