A327304 - OEIS

A327304

Digits of one of the two 5-adic integers sqrt(-9) that is related to A327302.

1, 4, 1, 4, 4, 3, 3, 0, 2, 4, 2, 2, 1, 2, 0, 0, 3, 3, 2, 2, 1, 4, 2, 2, 0, 2, 3, 0, 3, 0, 4, 4, 4, 2, 0, 3, 3, 1, 3, 3, 4, 0, 3, 2, 3, 2, 2, 3, 3, 2, 4, 4, 1, 3, 2, 4, 0, 2, 4, 1, 0, 0, 4, 4, 4, 4, 3, 0, 4, 1, 0, 4, 3, 0, 0, 1, 1, 4, 2, 1, 2, 1, 1, 1, 3, 0, 2, 0

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

This is the 5-adic solution to x^2 = -9 that ends in 1. A327305 gives the other solution that ends in 4.

LINKS

Table of n, a(n) for n=0..87.

G. P. Michon, Introduction to p-adic integers, Numericana.

FORMULA

For n > 0, a(n) is the unique m in {0, 1, 2, 3, 4} such that (A327302(n) + m*5^n)^2 + 9 is divisible by 5^(n+1).

a(n) = (A327302(n+1) - A327302(n))/5^n.

For n > 0, a(n) = 4 - A327305(n).