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A318353 The 10-adic integer b = ...2218217001 satisfying b^3 + 1 = c, c^3 + 1 = d, d^3 + 1 = a and a^3 + 1 = b. 6
1, 0, 0, 7, 1, 2, 8, 1, 2, 2, 0, 0, 0, 9, 7, 3, 9, 9, 1, 8, 7, 9, 8, 0, 6, 3, 9, 9, 1, 5, 2, 2, 0, 6, 8, 4, 7, 7, 3, 4, 1, 5, 8, 9, 8, 0, 8, 8, 0, 8, 5, 4, 3, 5, 6, 7, 7, 6, 7, 9, 4, 5, 6, 1, 9, 6, 1, 7, 0, 8, 9, 9, 7, 0, 7, 6, 3, 1, 2, 4, 8, 1, 1, 5, 1, 2, 0, 3, 3, 8, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

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

EXAMPLE

2218217001^3 + 1 == 6921651002 (mod 10^10),

6921651002^3 + 1 == 8865812009 (mod 10^10),

8865812009^3 + 1 == 4680316730 (mod 10^10),

4680316730^3 + 1 == 2218217001 (mod 10^10).

CROSSREFS

Cf. A318352 (a), this sequence (b), A318373 (c), A318374 (d).

Another automorphic cube-ring of four 10-adic integers: A317698, A318299, A318300, A318302.

Sequence in context: A215670 A010144 A195409 * A273984 A119506 A304149

Adjacent sequences:  A318350 A318351 A318352 * A318354 A318355 A318356

KEYWORD

nonn,base

AUTHOR

Seiichi Manyama, Aug 24 2018

STATUS

approved

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Last modified October 15 21:38 EDT 2021. Contains 348034 sequences. (Running on oeis4.)