A030986 3-automorphic numbers ending in 5: final digits of 3*n^2 agree with n.

5, 75, 875, 6875, 96875, 296875, 4296875, 4296875, 404296875, 9404296875, 39404296875, 639404296875, 6639404296875, 86639404296875, 86639404296875, 2086639404296875, 52086639404296875

Offset

1,1

Comments

a(n) is the unique positive integer less than 10^n such that a(n) is divisible by 5^n and 3*a(n) - 1 is divisible by 2^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

Prog

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

Crossrefs

Sequence in context: A105490 A307823 A105494 * A284924 A248340 A224088

Adjacent sequences: A030983 A030984 A030985 * A030987 A030988 A030989

Keyword

nonn,base

Author

Eric W. Weisstein

Status

approved