

A237583


Automorphic numbers: n^2 ends with n in base 6.


12



0, 1, 3, 4, 9, 28, 81, 136, 1216, 6561, 16768, 29889, 76545, 203392, 636417, 1043200, 3995649, 6082048, 24151041, 36315136, 326481921, 689278977, 1487503360, 11573190657, 76876660737, 155240824833, 314944159744, 785129144320, 2035980763137, 4857090670593
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OFFSET

1,3


LINKS

Eric M. Schmidt, Table of n, a(n) for n = 1..1000


EXAMPLE

From A201821:
a(3) = (3)_6 = 3 since 3^2 = 9 = (13)_6 ends with 3 in base 6.
a(4) = (4)_6 = 4 since 4^2 = 16 = (24)_6 ends with 4 in base 6.
a(5) = (13)_6 = 9 since 9^2 = 81 = (213)_6 ends with 13 in base 6.


PROG

(Sage) # See A003226.
(PARI) isok(n) = ((n^2n) % 6^(#digits(n, 6))) == 0; \\ Michel Marcus, Mar 08 2014


CROSSREFS

Cf. A201821 (written in base 6), A003226, A201918, A201919, A201921, A201948.
Sequence in context: A247087 A270756 A105229 * A080849 A058857 A084715
Adjacent sequences: A237580 A237581 A237582 * A237584 A237585 A237586


KEYWORD

nonn,base


AUTHOR

Eric M. Schmidt, Feb 09 2014


STATUS

approved



