A309475 - OEIS

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A309475

Digits of one of the two 3-adic integers sqrt(-1/2). Here the sequence with first digit 2.

2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2

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

OFFSET

0,1

LINKS

Robert Israel, Table of n, a(n) for n = 0..10000

FORMULA

p = ...100102, p^2 = ...111111.

q = A271224 = ...022012, p * q = ...000001.

a(n) = (b(n+1) - b(n))/3^n, with b(n) = A309477(n).

MAPLE

T:= select(t -> padic:-ratvaluep(t, 1)=2, [padic:-rootp(x^2+1/2, 3, 100)]): op([1, 1, 3], T); # Robert Israel, Aug 05 2019

PROG