A318140 The 10-adic integer f = ...6510474330 satisfying f^2 + 1 = a, a^2 + 1 = b, b^2 + 1 = c, c^2 + 1 = d, d^2 + 1 = e, and e^2 + 1 = f.

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

Offset

0,2

Comments

Data generated using MATLAB.

Links

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

Example

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

Crossrefs

Cf. A018247, A318135 (a), A318136 (b), A318137 (c), A318138 (d), A318139 (e).

Sequence in context: A059871 A273096 A076619 * A266025 A216626 A319526

Adjacent sequences: A318137 A318138 A318139 * A318141 A318142 A318143

Keyword

nonn,base

Author

Patrick A. Thomas, Aug 19 2018

Status

approved