OFFSET
0,1
COMMENTS
This square root of -2 in the 17-adic field ends with digit 10 (A when written as a 17-adic number). The other, A322565, ends with digit 7.
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..10000
Wikipedia, p-adic number
FORMULA
EXAMPLE
The solution to x^2 == -2 (mod 17^4) such that x == 10 (mod 17) is x == 80029 (mod 17^4), and 80029 is written as G4FA in heptadecimal, so the first four terms are 10, 15, 4 and 16.
PROG
(PARI) a(n) = truncate(-sqrt(-2+O(17^(n+1))))\17^n
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Jianing Song, Aug 29 2019
STATUS
approved