A321078 Digits of one of the two 11-adic integers sqrt(5).

4, 4, 10, 4, 0, 9, 5, 8, 7, 7, 3, 9, 7, 4, 1, 8, 10, 5, 10, 8, 10, 2, 5, 6, 10, 10, 3, 10, 2, 2, 1, 6, 6, 5, 7, 10, 0, 6, 9, 8, 3, 1, 6, 5, 3, 1, 9, 0, 5, 8, 8, 10, 4, 8, 9, 1, 9, 7, 1, 2, 1, 0, 5, 0, 2, 9, 1, 5, 2, 1, 3, 1, 7, 10, 3, 5, 0, 4, 10, 5, 1, 2, 10, 2, 1, 3, 0

Offset

0,1

Comments

This square root of 5 in the 11-adic field ends with digit 4. The other, A321079, ends with digit 7.

Links

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

Wikipedia, p-adic number

Formula

a(n) = (A321076(n+1) - A321076(n))/11^n.

For n > 0, a(n) = 10 - A321079(n).

Example

...8960A7566122A3AA652A8A5A8147937785904A44.

Prog

(PARI) a(n) = truncate(sqrt(5+O(11^(n+1))))\11^n

Crossrefs

Cf. A321076, A321079.

Sequence in context: A198025 A205549 A120395 * A160723 A255486 A286779

Adjacent sequences: A321075 A321076 A321077 * A321079 A321080 A321081

Keyword

nonn,base

Author

Jianing Song, Oct 27 2018

Status

approved