A061658 - OEIS

A061658

Numbers k > 1 such that, in base 4, k and k^2 contain the same digits in the same proportion.

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