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A004629 Squares written in base 11. (Next term contains a nondecimal digit.) 1

%I #16 Aug 01 2024 23:15:07

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

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

%C From _Michael De Vlieger_, Nov 13 2014: (Start)

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

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

%C (End)

%H Michael De Vlieger, <a href="/A004629/a004629.txt">Table of squares written in base 11</a>, a(n) for n = 1..1331 (11^3 or "1000" in base 11)

%e a(8) = 8 * 8 = decimal 64 = 5 * 11 + 9 = "59".

%e a(15) = 15 * 15 = decimal 225 = 1 * (11^2) + 9 * (11^1) + 5 = "195".

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

%Y Cf. A000290.

%K base,easy,nonn,changed

%O 1,2

%A _N. J. A. Sloane_

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Last modified August 11 18:47 EDT 2024. Contains 375073 sequences. (Running on oeis4.)