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A225442 10-adic integer x such that x^7 == (10^n-1)/3 mod 10^n for all n. 1
7, 3, 4, 7, 5, 2, 2, 0, 4, 1, 9, 0, 8, 3, 4, 1, 0, 5, 3, 3, 0, 9, 6, 5, 3, 4, 9, 0, 4, 7, 7, 0, 5, 1, 3, 8, 2, 2, 9, 9, 9, 1, 8, 0, 6, 9, 5, 8, 3, 9, 8, 1, 4, 6, 7, 1, 1, 3, 0, 5, 0, 5, 2, 2, 8, 8, 5, 7, 7, 9, 5, 1, 5, 8, 3, 6, 5, 0, 4, 7, 7, 9, 0, 1, 3, 7, 7, 9, 2, 8, 9, 8, 4, 4, 2, 7, 6, 5, 4, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..100.

EXAMPLE

7^7 == 3 (mod 10).

37^7 == 33 (mod 100).

437^7 == 333 (mod 1000).

7437^7 == 3333 (mod 10000).

57437^7 == 33333 (mod 100000).

257437^7 == 333333 (mod 1000000).

PROG

(PARI) n=0; for(i=1, 100, m=(10^i-1)/3; for(x=0, 9, if(((n+(x*10^(i-1)))^7)%(10^i)==m, n=n+(x*10^(i-1)); print1(x", "); break)))

CROSSREFS

Sequence in context: A222231 A011252 A165331 * A010507 A030710 A117037

Adjacent sequences:  A225439 A225440 A225441 * A225443 A225444 A225445

KEYWORD

nonn,base

AUTHOR

Aswini Vaidyanathan, May 11 2013

STATUS

approved

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Last modified April 18 10:44 EDT 2019. Contains 322209 sequences. (Running on oeis4.)