A325897 Digits of the 2-adic integer 5^(1/5).

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

Offset

0

Links

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

Wikipedia, p-adic number

Formula

a(n) = (A325893(n+1) - A325893(n))/2^n.

a(n) = 0 if A325893(n)^5 - 5 is divisible by 2^(n+1), otherwise a(n) = 1.

Example

Equals ...1010101001100010000011111010010010010101.

Prog

(PARI) a(n) = lift(sqrtn(5+O(2^(n+1)), 5))\2^n

Crossrefs

Cf. A325893.

Digits of p-adic fifth-power roots:

A325896 (2-adic, 3^(1/5));

this sequence (2-adic, 5^(1/5));

A325898 (2-adic, 7^(1/5));

A325899 (2-adic, 9^(1/5));

A322169 (5-adic, 7^(1/5));

A309445 (7-adic, 2^(1/5));

A309446 (7-adic, 3^(1/5));

A309447 (7-adic, 4^(1/5));

A309448 (7-adic, 5^(1/5));

A309449 (7-adic, 6^(1/5)).

Sequence in context: A309848 A326822 A088517 * A040053 A267513 A004569

Adjacent sequences: A325894 A325895 A325896 * A325898 A325899 A325900

Keyword

nonn,base

Author

Jianing Song, Sep 07 2019

Status

approved