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
Examples
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.
Links
- Eric M. Schmidt, Table of n, a(n) for n = 1..1000
Programs
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Sage
# See A003226. - Eric M. Schmidt, Feb 09 2014
Extensions
More terms from Eric M. Schmidt, Feb 09 2014