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A225443 10-adic integer x such that x^7 == (10^n-1)/9 mod 10^n for all n. 1
1, 3, 0, 1, 9, 1, 8, 7, 3, 0, 2, 4, 3, 2, 5, 8, 3, 2, 4, 7, 4, 4, 6, 5, 6, 9, 7, 2, 5, 7, 7, 4, 8, 4, 4, 0, 8, 4, 1, 3, 1, 9, 8, 3, 1, 7, 7, 8, 4, 2, 0, 6, 9, 6, 8, 6, 6, 0, 0, 1, 7, 0, 9, 8, 8, 6, 6, 0, 7, 2, 1, 3, 3, 5, 9, 7, 3, 3, 7, 3, 9, 4, 5, 4, 5, 2, 3, 7, 6, 7, 3, 5, 5, 3, 7, 7, 3, 3, 7, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

EXAMPLE

1^7 == 1 (mod 10).

31^7 == 11 (mod 100).

31^7 == 111 (mod 1000).

1031^7 == 1111 (mod 10000).

91031^7 == 11111 (mod 100000).

191031^7 == 111111 (mod 1000000).

PROG

(PARI) n=0; for(i=1, 100, m=(10^i-1)/9; 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: A099097 A152150 A136239 * A222060 A256549 A211608

Adjacent sequences:  A225440 A225441 A225442 * A225444 A225445 A225446

KEYWORD

nonn,base

AUTHOR

Aswini Vaidyanathan, May 11 2013

STATUS

approved

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Last modified March 20 23:22 EDT 2019. Contains 321354 sequences. (Running on oeis4.)