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 A030985 3-automorphic numbers ending in 2: final digits of 3*n^2 agree with n. 1

%I

%S 2,92,792,9792,69792,369792,2369792,62369792,262369792,7262369792,

%T 27262369792,27262369792,27262369792,80027262369792,580027262369792,

%U 4580027262369792,14580027262369792,914580027262369792

%N 3-automorphic numbers ending in 2: final digits of 3*n^2 agree with n.

%C a(n) is the unique positive integer less than 10^n such that a(n) is divisible by 2^n and 3*a(n) - 1 is divisible by 5^n. - _Eric M. Schmidt_, Aug 18 2012

%H Eric M. Schmidt, <a href="/A030985/b030985.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Ar#automorphic">Index entries for sequences related to automorphic numbers</a>

%H <a href="/index/Fi#final">Index entries for sequences related to final digits of numbers</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AutomorphicNumber.html">Automorphic Number</a>

%o (Sage) [crt(0, inverse_mod(3, 5^n), 2^n, 5^n) for n in range(1, 1001)] # _Eric M. Schmidt_, Aug 18 2012

%K nonn,base,changed

%O 1,1

%A _Eric W. Weisstein_

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Last modified December 13 22:55 EST 2019. Contains 329974 sequences. (Running on oeis4.)