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

2, 92, 792, 9792, 69792, 369792, 2369792, 62369792, 262369792, 7262369792, 27262369792, 27262369792, 27262369792, 80027262369792, 580027262369792, 4580027262369792, 14580027262369792, 914580027262369792

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn
• base

Comments

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

Links

• Eric M. Schmidt, Table of n, a(n) for n = 1..1000
• Index entries for sequences related to automorphic numbers
• Index entries for sequences related to final digits of numbers
• Eric Weisstein's World of Mathematics, Automorphic Number

Programs

Sage

[crt(0, inverse_mod(3, 5^n), 2^n, 5^n) for n in range(1, 1001)] # Eric M. Schmidt, Aug 18 2012