The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A321107 Digits of one of the three 13-adic integers 5^(1/3) that is related to A320915. 13
 8, 0, 1, 5, 7, 0, 5, 12, 8, 10, 11, 6, 9, 3, 4, 5, 8, 1, 5, 3, 0, 7, 1, 2, 7, 8, 8, 3, 4, 1, 0, 11, 4, 0, 0, 5, 4, 7, 2, 9, 4, 3, 4, 11, 11, 6, 8, 12, 11, 5, 2, 1, 7, 12, 7, 7, 11, 11, 0, 6, 5, 9, 6, 12, 5, 3, 11, 5, 12, 4, 9, 5, 1, 9, 9, 3, 8, 0, 7, 0, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS For k not divisible by 5, k is a cube in 13-adic field if and only if k == 1, 5, 8, 12 (mod 13). If k is a cube in 13-adic field, then k has exactly three cubic roots. LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 Wikipedia, p-adic number FORMULA a(n) = (A320915(n+1) - A320915(n))/13^n. EXAMPLE The unique number k in [1, 13^3] and congruent to 8 modulo 13 such that k^3 - 5 is divisible by 13^3 is k = 177 = (108)_13, so the first three terms are 8, 0 and 1. PROG (PARI) a(n) = lift(sqrtn(5+O(13^(n+1)), 3))\13^n CROSSREFS Cf. A320914, A320915, A321105, A321106, A321108. For 5-adic cubic roots, see A290566, A290563, A309443. Sequence in context: A011470 A345295 A198940 * A198117 A241215 A272343 Adjacent sequences:  A321104 A321105 A321106 * A321108 A321109 A321110 KEYWORD nonn,base AUTHOR Jianing Song, Aug 27 2019 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.

Last modified July 24 21:47 EDT 2021. Contains 346273 sequences. (Running on oeis4.)