A004629 Squares written in base 11. (Next term contains a nondecimal digit.)

1, 4, 9, 15, 23, 33, 45, 59, 74, 91, 100, 121, 144, 169, 195, 213, 243, 275

Offset

1,2

Comments

From Michael De Vlieger, Nov 13 2014: (Start)

The next term contains a nondecimal digit: see the link below for an expanded table of squares with the nondecimal digits.

As n increases, a(n) cycles through the end digits in the order 0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1.

(End)

Links

Table of n, a(n) for n=1..18.

Michael De Vlieger, Table of squares written in base 11, a(n) for n = 1..1331 (11^3 or "1000" in base 11)

Example

a(8) = 8 * 8 = decimal 64 = 5 * 11 + 9 = "59".
a(15) = 15 * 15 = decimal 225 = 1 * (11^2) + 9 * (11^1) + 5) = "195".

Mathematica

a004629[n_Integer] := BaseForm[n^2, 11]; a004629 /@ Range[11^3] (* Michael De Vlieger, Nov 13 2014 *)

Crossrefs

Cf. A000290.

Sequence in context: A243536 A184005 A194106 * A348338 A065893 A052116

Adjacent sequences: A004626 A004627 A004628 * A004630 A004631 A004632

Keyword

base,easy,nonn

Author

N. J. A. Sloane

Status

approved