253970

Appears in sequences

• Second coordinate of fundamental unit of real quadratic field with discriminant A003658(n), n >= 2.at n=58A014046
• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 32.at n=30A031620
• Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of y for n == 1 (mod 4).at n=36A053373
• Minimal positive solution a(n) of Diophantine equation b(n)^2 - b(n)*a(n) - G(n)*a(n)^2 = +1 or -1 with G(n) := A078358(n). The companion sequence is b(n)=A077057(n).at n=41A077058
• Minimal positive solution x of Pell equation y^2 - A077426(n)*x^2 = -4.at n=24A078357
• Twice the coefficient of sqrt(q) in e^h, where e is the fundamental unit and h is the class number of Q(sqrt(q)), q prime and congruent to 1 mod 4. (The coefficient lies in (1/2)Z, so twice it is an integer.)at n=19A225432