A030989 6-automorphic numbers: final digits of 6n^2 agree with n.

6, 96, 896, 4896, 84896, 184896, 1184896, 31184896, 631184896, 3631184896, 13631184896, 13631184896, 13631184896, 90013631184896, 290013631184896, 7290013631184896, 57290013631184896, 957290013631184896

Offset

1,1

Comments

a(n) is the unique positive integer less than 10^n such that a(n) is divisible by 2^n and 6a(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

Eric Weisstein's World of Mathematics, Automorphic Number

Index entries for sequences related to automorphic numbers

Index entries for sequences related to final digits of numbers

Prog

(Sage) [crt(0, inverse_mod(6, 5^n), 2^n, 5^n) for n in range(1, 1001)] # Eric M. Schmidt, Aug 18 2012

Crossrefs

Sequence in context: A115400 A279868 A055358 * A288845 A006044 A202078

Adjacent sequences: A030986 A030987 A030988 * A030990 A030991 A030992

Keyword

nonn,base

Author

Eric W. Weisstein

Status

approved