A030994 9-automorphic numbers ending in 4: final digits of 9*n^2 agree with n.

4, 64, 264, 3264, 23264, 123264, 4123264, 54123264, 754123264, 5754123264, 75754123264, 675754123264, 6675754123264, 26675754123264, 526675754123264, 1526675754123264, 71526675754123264

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 9*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

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(9, 5^n), 2^n, 5^n) for n in range(1, 1001)] # Eric M. Schmidt, Aug 18 2012

Crossrefs

Sequence in context: A110258 A056982 A381198 * A299147 A141046 A264055

Adjacent sequences: A030991 A030992 A030993 * A030995 A030996 A030997

Keyword

nonn,base

Author

Eric W. Weisstein

Status

approved