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A317850 The 10-adic integer x = ...603097394847873 satisfying x^7 + 1 = y and y^7 + 1 = x. 6
3, 7, 8, 7, 4, 8, 4, 9, 3, 7, 9, 0, 3, 0, 6, 2, 5, 4, 0, 8, 1, 7, 5, 0, 6, 8, 5, 5, 3, 9, 7, 7, 0, 4, 0, 4, 1, 7, 6, 0, 7, 2, 2, 1, 2, 1, 8, 7, 6, 3, 6, 0, 3, 5, 2, 7, 5, 6, 2, 3, 1, 9, 8, 8, 1, 8, 4, 8, 0, 0, 6, 5, 5, 3, 1, 2, 4, 1, 2, 6, 3, 7, 6, 6, 6, 4, 1, 4, 0, 0, 0, 3, 6, 8, 3, 8, 3, 0, 9, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Data generated using calculator (first 15 terms) and MATLAB (next 85 terms).  Conjecture:  There exists a pair of 10-adic integers satisfying x^n + 1 = y and y^n + 1 = x iff n == 3, 7, or 15 (mod 20).

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..5000

EXAMPLE

603097394847873^7 + 1 == 480203107738498 (mod 10^15) and 480203107738498^7 + 1 == 603097394847873 (mod 10^15).

CROSSREFS

Cf. A317864 (y).

Cf. A318327-A318336.

Sequence in context: A198562 A244334 A011398 * A181828 A059101 A091679

Adjacent sequences:  A317847 A317848 A317849 * A317851 A317852 A317853

KEYWORD

nonn,base

AUTHOR

Patrick A. Thomas, Sep 01 2018

EXTENSIONS

Offset changed to 0 by Seiichi Manyama, Sep 20 2018

STATUS

approved

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Last modified September 21 13:37 EDT 2019. Contains 327253 sequences. (Running on oeis4.)