A318136 The 10-adic integer b = ...9989107802 satisfying b^2 + 1 = c, c^2 + 1 = d, d^2 + 1 = e, e^2 + 1 = f, f^2 + 1 = a, and a^2 + 1 = b.

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

Offset

0,1

Comments

Data generated using MATLAB.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Example

802^2 + 1 = 205 (mod 10^3), 205^2 + 1 = 26 (mod 10^3), 26^2 + 1 = 677 (mod 10^3), 677^2 + 1 = 330 (mod 10^3), 330^2 + 1 = 901 (mod 10^3), and 901^2 + 1 = 802 (mod 10^3), so 2 0 8 comprise the sequence's first three terms.

Crossrefs

Cf. A018247, A318135 (a), A318137 (c), A318138 (d), A318139 (e), A318140 (f).

Sequence in context: A359451 A243443 A096609 * A168037 A019658 A366164

Adjacent sequences: A318133 A318134 A318135 * A318137 A318138 A318139

Keyword

nonn,base

Author

Patrick A. Thomas, Aug 19 2018

Status

approved