A318137 The 10-adic integer c = ...9977271205 satisfying c^2 + 1 = d, d^2 + 1 = e, e^2 + 1 = f, f^2 + 1 = a, a^2 + 1 = b, and b^2 + 1 = c.

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

Offset

0,1

Comments

Data generated using MATLAB.

Links

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

Example

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), 901^2 + 1 == 802 (mod 10^3), and 802^2 + 1 == 205 (mod 10^3), so 5 0 2 comprise the sequence's first three terms.

Crossrefs

Cf. A018247, A318135 (a), A318136 (b), A318138 (d), A318139 (e), A318140 (f).

Sequence in context: A200415 A200418 A200637 * A371530 A062950 A366412

Adjacent sequences: A318134 A318135 A318136 * A318138 A318139 A318140

Keyword

nonn,base

Author

Patrick A. Thomas, Aug 19 2018

Status

approved