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

Offset: 0

Author

Seiichi Manyama, Aug 04 2019

Keywords

• nonn
• base

Links

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

Crossrefs

Cf. A271224, A309474, A309477.

Programs

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

PARI

Vecrev(digits(truncate(-sqrt(-1/2+O(3^100))), 3))

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).