A323095 - OEIS

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A323095

Digits of the 2-adic integer 7^(1/3).

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

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OFFSET

LINKS

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

Wikipedia, p-adic number

FORMULA

a(n) = (A322934(n+1) - A322934(n))/2^n.

a(n) = 0 if A322934(n)^3 - 7 is divisible by 2^(n+1), otherwise a(n) = 1.

EXAMPLE

Equals ...1111110101110000010111111010110110010111.

PROG

(PARI) a(n) = lift(sqrtn(7+O(2^(n+1)), 3))\2^n