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A225404
10-adic integer x such that x^3 == 3 mod 10^n for all n.
9
7, 8, 5, 4, 3, 1, 5, 9, 8, 7, 8, 0, 0, 5, 8, 3, 2, 4, 0, 6, 1, 5, 6, 6, 2, 9, 4, 8, 1, 3, 0, 3, 6, 1, 8, 4, 8, 4, 6, 1, 9, 2, 2, 1, 3, 3, 8, 6, 8, 7, 8, 8, 9, 0, 6, 5, 9, 6, 3, 5, 3, 0, 2, 4, 2, 3, 0, 9, 0, 5, 2, 1, 6, 0, 7, 0, 1, 9, 9, 4, 7, 5, 7, 9, 3, 4, 8, 6, 6, 3, 3, 1, 1, 4, 3, 3, 6, 6, 2, 4
OFFSET
1,1
EXAMPLE
7^3 == 3 (mod 10).
87^3 == 3 (mod 100).
587^3 == 3 (mod 1000).
4587^3 == 3 (mod 10000).
34587^3 == 3 (mod 100000).
134587^3 == 3 (mod 1000000).
PROG
(PARI) n=0; for(i=1, 100, m=3; for(x=0, 9, if(((n+(x*10^(i-1)))^3)%(10^i)==m, n=n+(x*10^(i-1)); print1(x", "); break)))
(Python) n=7; p=1; i=1; exec("print(i, n//p); i+=1; p*=10; n+=n**3//p*7%10*p; "*10000) # Kenny Lau, Jun 07 2018
CROSSREFS
Sequence in context: A216544 A216546 A003881 * A320413 A076419 A217516
KEYWORD
nonn,base
AUTHOR
Aswini Vaidyanathan, May 07 2013
STATUS
approved