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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

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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

(SageMath) [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 A393582

Adjacent sequences: A030986 A030987 A030988 * A030990 A030991 A030992

KEYWORD

nonn,base

AUTHOR

Eric W. Weisstein

STATUS

approved

URL: https://oeis.org/A030989

⇱ A030989 - OEIS