A323000 - OEIS

A323000

Digits of the 2-adic integer 3^(1/3).

1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0

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OFFSET

LINKS

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

Wikipedia, p-adic number

FORMULA

a(n) = (A322701(n+1) - A322701(n))/2^n.

a(n) = 0 if A322701(n)^3 - 3 is divisible by 2^(n+1), otherwise a(n) = 1.

EXAMPLE

Equals ...0100110111001111001000011111000101111011.

PROG

(PARI) a(n) = lift(sqrtn(3+O(2^(n+1)), 3))\2^n