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 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 (list; graph; refs; listen; history; text; internal format)
 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 Table of n, a(n) for n=1..50. FORMULA A254764(n)^2 - 2*a(n)^2 = A007522(n) gives the smallest positive (proper) solution of this (generalized) Pell equation. EXAMPLE A254764(4)^2 - 2*a(4)^2 = 7^2 - 2*1^2 = 47 = A007522(4). CROSSREFS Cf. A007522, A254764, A254766, A254929, A254760, A254761, A254762, A254763, A002335. Sequence in context: A154723 A273262 A274532 * A300893 A325249 A352453 Adjacent sequences: A254762 A254763 A254764 * A254766 A254767 A254768 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Feb 12 2015 STATUS approved

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Last modified June 8 00:24 EDT 2023. Contains 363157 sequences. (Running on oeis4.)