A201921 Automorphic numbers: n^2 ends with n in base 15 (written in base 10).

0, 1, 6, 10, 100, 126, 1000, 2376, 4375, 46251, 156250, 603126, 3640626, 7750000, 19140625, 151718751, 835156251, 1727734375, 5960937501, 32482421875, 236621093751, 340029296875, 8413134765625, 60784912109376, 68961425781250, 709516601562501, 1236678466796875

Offset

1,3

Links

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

Example

a(3) = 6 = (6)_15 since 6^2 = 36 = (26)_15 ends with 6 in base 15.
a(4) = 10 = (A)_15 since 10^2 = 100 = (6A)_15 ends with A in base 15.
a(5) = 100 = (6A)_15 since 100^2 = 10000 = (2E6A)_15 ends with 6A in base 15.

Prog

(SageMath) # See A003226. - Eric M. Schmidt, Feb 09 2014

Crossrefs

Cf. A003226, A201821, A201918, A201919, A201948, A237583.

Sequence in context: A246800 A269341 A348650 * A117310 A174322 A359332

Adjacent sequences: A201918 A201919 A201920 * A201922 A201923 A201924

Keyword

nonn,base

Author

Martin Renner, Dec 06 2011

Extensions

More terms from Eric M. Schmidt, Feb 09 2014

Status

approved