login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A322087 Digits of one of the two 13-adic integers sqrt(3). 12
4, 8, 6, 8, 12, 2, 1, 9, 9, 10, 1, 6, 4, 10, 6, 11, 11, 9, 5, 5, 0, 5, 2, 5, 8, 0, 8, 7, 3, 5, 3, 12, 0, 3, 10, 3, 5, 8, 1, 12, 11, 8, 7, 0, 3, 1, 4, 9, 9, 9, 1, 10, 6, 12, 2, 7, 3, 5, 1, 6, 12, 1, 1, 12, 10, 5, 6, 11, 7, 8, 12, 10, 1, 3, 5, 5, 5, 7, 11, 1, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

This square root of 3 in the 13-adic field ends with digit 4. The other, A322088, ends with digit 9.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Wikipedia, p-adic number

FORMULA

a(n) = (A322085(n+1) - A322085(n))/13^n.

For n > 0, a(n) = 12 - A322088(n).

Equals A286838*A322091 = A286839*A322092.

EXAMPLE

...BC1853A30C35378085250559BB6A461A9912C8684.

PROG

(PARI) a(n) = truncate(sqrt(3+O(13^(n+1))))\13^n

CROSSREFS

Cf. A322085.

Digits of p-adic integers:

A321074, A321075 (11-adic, sqrt(3));

this sequence, A322088 (13-adic, sqrt(3));

A286838, A286839 (13-adic, sqrt(-1));

A322091, A322092 (13-adic, sqrt(-3)).

Sequence in context: A279160 A197290 A200368 * A142350 A011515 A005531

Adjacent sequences:  A322084 A322085 A322086 * A322088 A322089 A322090

KEYWORD

nonn,base

AUTHOR

Jianing Song, Nov 26 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 18 11:57 EST 2022. Contains 350455 sequences. (Running on oeis4.)