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A061658 In base 4 n and n^2 contain the same digits in the same proportion. 12
45, 165, 180, 657, 660, 720, 882, 2165, 2193, 2331, 2625, 2628, 2640, 2880, 3362, 3470, 3528, 3606, 3683, 3825, 8285, 8294, 8337, 8381, 8477, 8493, 8519, 8525, 8660, 8721, 8772, 8817, 9069, 9282, 9324, 9479, 9507, 9869, 9969, 10185, 10349, 10353, 10500, 10512 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..1000

EXAMPLE

45 = 231_4 and 45^2 = 133221_4.

MAPLE

p:= n-> add(x^i, i=convert(n, base, 4)):

a:= proc(n) option remember; local k;

      for k from 1+`if`(n=1, 0, a(n-1))

      while p(k)*2<>p(k^2) do od; k

    end:

seq(a(n), n=1..50);  # Alois P. Heinz, May 10 2015

CROSSREFS

Cf. A061656, A061657, A061659, A061660, A061661, A061662, A061663, A114258, A061664.

Sequence in context: A053743 A234336 A173371 * A254147 A271737 A280887

Adjacent sequences:  A061655 A061656 A061657 * A061659 A061660 A061661

KEYWORD

base,easy,nonn

AUTHOR

Erich Friedman, Jun 16 2001

EXTENSIONS

Offset changed to 1 by Alois P. Heinz, May 10 2015

STATUS

approved

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Last modified June 25 19:53 EDT 2017. Contains 288729 sequences.