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

0,1

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

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

Crossrefs

Cf. A271224, A309474, A309477.

Sequence in context: A080843 A287112 A296238 * A221314 A326642 A087371

Adjacent sequences: A309472 A309473 A309474 * A309476 A309477 A309478

Keyword

nonn,base

Author

Seiichi Manyama, Aug 04 2019

Status

approved