OFFSET
0,2
COMMENTS
For n > 0, a(n) is the unique solution to x^2 == 2 (mod 17^n) in the range [0, 17^n - 1] and congruent to 11 modulo 17.
A322559 is the approximation (congruent to 6 mod 17) of another square root of 2 over the 17-adic field.
LINKS
Wikipedia, p-adic number
FORMULA
EXAMPLE
11^2 = 121 = 7*17 + 2;
45^2 = 2025 = 7*17^2 + 2;
623^2 = 388129 = 79*17^3 + 2.
PROG
(PARI) a(n) = truncate(-sqrt(2+O(17^n)))
CROSSREFS
KEYWORD
nonn
AUTHOR
Jianing Song, Aug 29 2019
STATUS
approved