A319261 The 10-adic integer x = ...09600385 satisfying x^7 + 1 = y, y^7 + 1 = z, z^7 + 1 = w, and w^7 + 1 = x.

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

Offset

0,1

Comments

There is one other ring of four 10-adic integers meeting the same conditions.

Links

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

Example

9600385^7 + 1 == 22890626 (mod 10^8), 22890626^7 + 1 == 57109377 (mod 10^8), 57109377^7 + 1 == 72890754 (mod 10^8), and 72890754^7 + 1 == 9600385 (mod 10^8).

Crossrefs

Cf. A319260 (w), A319262 (y), A319263 (z).

Cf. A317850, A317864.

Sequence in context: A156035 A284697 A361221 * A010489 A196567 A200685

Adjacent sequences: A319258 A319259 A319260 * A319262 A319263 A319264

Keyword

nonn,base

Author

Patrick A. Thomas, Sep 16 2018

Extensions

Offset changed to 0 by Seiichi Manyama, Sep 21 2018

More terms from Seiichi Manyama, Sep 21 2018

Status

approved