A318139 The 10-adic integer e = ...3455904677 satisfying e^2 + 1 = f, f^2 + 1 = a, a^2 + 1 = b, b^2 + 1 = c, c^2 + 1 = d, and d^2 + 1 = e.

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

Offset

0,1

Comments

Data generated using MATLAB.

Links

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

Example

677^2 + 1 == 330 (mod 10^3), 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), and 26^2 + 1 == 677(mod10^3), so 7 7 6 comprise the sequence's first three terms.

Crossrefs

Cf. A018247, A318135 (a), A318136 (b), A318137 (c), A318138 (d), A318140 (f).

Sequence in context: A021567 A019619 A177436 * A334850 A199793 A202949

Adjacent sequences: A318136 A318137 A318138 * A318140 A318141 A318142

Keyword

nonn,base

Author

Patrick A. Thomas, Aug 19 2018

Status

approved