A030995 9-automorphic numbers ending in 5: final digits of 9*n^2 agree with n.

5, 25, 625, 5625, 65625, 765625, 4765625, 34765625, 134765625, 3134765625, 13134765625, 213134765625, 2213134765625, 62213134765625, 362213134765625, 7362213134765625, 17362213134765625

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 9*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(9, 2^n), 0, 2^n, 5^n) for n in range(1, 1001)] # Eric M. Schmidt, Aug 18 2012

Crossrefs

Sequence in context: A078260 A007185 A175852 * A067270 A215118 A218150

Adjacent sequences: A030992 A030993 A030994 * A030996 A030997 A030998

Keyword

nonn,base,changed

Author

Eric W. Weisstein

Status

approved