A264353 - OEIS

A264353

The y member of the positive proper fundamental solution (x = x2(n), y = y2(n)) of the second class for the Pell equation x^2 - D(n)*y^2 = +8 for odd D(n) = A263012(n).

7, 191, 121751, 977, 369857, 41903, 10447, 289, 31750313, 70217, 45911, 55814696449, 31976153111, 760633409, 4127, 6090942263, 114449983, 49021742073857, 961536627246198743, 377247137, 825722983360793, 569, 252098751014159, 145746599, 16830802006252297, 3602441, 9204879914229161, 21735887654887, 305798976086839, 3541220927745592511, 631, 103083370004609, 527123470001650790344559393, 190027177610417, 45407

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OFFSET

1,1

COMMENTS

The corresponding x = x2(n) member is given by A264351(n).

See A263012 for details and examples.

LINKS

Table of n, a(n) for n=1..35.

FORMULA

x2(n)^2 - D(n)*a(n)^2 = 8 with D(n) = A263012(n) and x2(n) = A264351(n), n >= 1.

EXAMPLE

n=5: 3642669^2 - 97*369857^2 = 8.