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A323096 Digits of the 2-adic integer 9^(1/3). 4
1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

LINKS

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

Wikipedia, p-adic number

FORMULA

a(n) = (A322999(n+1) - A322999(n))/2^n.

a(n) = 0 if A322999(n)^3 - 9 is divisible by 2^(n+1), otherwise a(n) = 1.

EXAMPLE

Equals ...0000001100001111011111101101000100011001.

PROG

(PARI) a(n) = lift(sqrtn(9+O(2^(n+1)), 3))\2^n

CROSSREFS

Cf. A322999.

Digits of p-adic cubic roots:

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

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

A323095 (2-adic, 7^(1/3));

this sequence (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: A126999 A306862 A214293 * A120527 A188093 A190843

Adjacent sequences:  A323093 A323094 A323095 * A323097 A323098 A323099

KEYWORD

nonn,base

AUTHOR

Jianing Song, Aug 30 2019

STATUS

approved

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Last modified July 24 03:29 EDT 2021. Contains 346273 sequences. (Running on oeis4.)