

A254765


Fundamental positive solution y = y1(n) of the first class of the Pell equation x^2  2*y^2 = A007522(n), n >=1 (primes congruent to 7 mod 8).


3



1, 1, 3, 1, 5, 1, 3, 7, 3, 1, 7, 9, 1, 5, 7, 3, 5, 1, 9, 11, 7, 1, 9, 5, 11, 13, 11, 3, 7, 17, 11, 1, 7, 13, 3, 1, 7, 13, 5, 15, 21, 11, 7, 13, 5, 9, 1, 17, 23, 1
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OFFSET

1,3


COMMENTS

For the corresponding term x1(n) see A254764(n).
See A254764 for comments and the Nagell reference.
The least positive y solutions (that is the ones of the first class) for the primes +1 and 1 (mod 8) together (including also prime 2) are given in A002335.


LINKS



FORMULA

A254764(n)^2  2*a(n)^2 = A007522(n) gives the smallest positive (proper) solution of this (generalized) Pell equation.


EXAMPLE



CROSSREFS



KEYWORD

nonn,easy


AUTHOR



STATUS

approved



