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

Offset

0

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

Crossrefs

Cf. A322934.

Digits of p-adic cubic roots:

A323000 (2-adic, 3^(1/3));

A323045 (2-adic, 5^(1/3));

this sequence (2-adic, 7^(1/3));

A323096 (2-adic, 9^(1/3));

A290566 (5-adic, 2^(1/3));

A290563 (5-adic, 3^(1/3));

A309443 (5-adic, 4^(1/3));

A319297, A319305, A319555 (7-adic, 6^(1/3));

A321106, A321107, A321108 (13-adic, 5^(1/3)).

Sequence in context: A189141 A082416 A093996 * A336868 A083187 A187036

Adjacent sequences: A323092 A323093 A323094 * A323096 A323097 A323098

Keyword

nonn,base

Author

Jianing Song, Aug 30 2019

Status

approved