A318409 The 10-adic integer a_8 = ...6396884918212891138 satisfying a_8^9 + 1 = a_9, a_9^9 + 1 = a_0, ... , a_6^9 + 1 = a_7 and a_7^9 + 1 = a_8.

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

Offset

0,1

Links

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

Example

6396884918212891138^9 + 1 == 5099734869332853249 (mod 10^19),
5099734869332853249^9 + 1 == 7644773889965429250 (mod 10^19),
7644773889965429250^9 + 1 == 7705078125000000001 (mod 10^19),
7705078125000000001^9 + 1 == 9345703125000000002 (mod 10^19),
9345703125000000002^9 + 1 == 2500000000000000513 (mod 10^19),
2500000000000000513^9 + 1 == 8996619787545743874 (mod 10^19),
8996619787545743874^9 + 1 == 3747888971752538625 (mod 10^19),
3747888971752538625^9 + 1 == 1601963043212890626 (mod 10^19),
1601963043212890626^9 + 1 == 5448818206787109377 (mod 10^19),
5448818206787109377^9 + 1 == 6396884918212891138 (mod 10^19).

Crossrefs

Cf. A318379 (a_0), A318380 (a_1), A318381 (a_2), A318382 (a_3), A318383 (a_4), A318384(a_5), A318385 (a_6), A318386 (a_7), this sequence (a_8), A318410 (a_9).

Sequence in context: A200300 A268440 A137433 * A119278 A070064 A081822

Adjacent sequences: A318406 A318407 A318408 * A318410 A318411 A318412

Keyword

nonn,base

Author

Seiichi Manyama, Aug 26 2018

Status

approved