A264350 - OEIS

A264350

The y member of the positive proper fundamental solution (x = x1(n), y = y1(n)) of the first class for the Pell equation x^2 - D(n)*y^2 = +8 for odd D(n) = A263012(n).

1, 1, 1, 23, 7, 1, 17, 1, 4063, 1, 401, 2999, 1, 540799, 7, 4021753, 1, 4998127, 1, 1695527, 74023, 17, 1, 31, 7, 1351, 28128619951, 1, 53249, 7998361, 47, 1, 5287, 9795103, 1, 743, 160942871, 1134097, 624113, 165383, 1, 1393, 7

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,4

COMMENTS

The corresponding x = x1(n) member is given by A264349.

See A263012 for details and examples.

LINKS

Table of n, a(n) for n=1..43.

FORMULA

x1(n)^2 - D(n)*a(n)^2 = 8 with D(n) = A263012(n) and x1(n) = A264349(n), n >= 1.

EXAMPLE

n=5: 69^2 - 97*7^2 = 8.