A061677 When squared gives number composed just of the digits 1, 2, 3, 4.

1, 2, 11, 12, 18, 21, 38, 111, 182, 338, 462, 482, 1111, 1188, 1488, 1521, 2079, 3338, 3368, 3482, 3512, 3639, 4818, 5868, 10688, 11011, 12018, 17639, 17979, 18012, 20521, 20771, 20838, 21079, 33338, 33368, 33632, 34962, 36361, 37739, 37962

Offset

1,2

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10001

Maple

filter:= t -> convert(convert(t^2, base, 10), set) subset {1, 2, 3, 4}:
select(filter, [seq(seq(x, x=ceil(sqrt((10^i-1)/9)) .. floor(sqrt(4*(10^i-1)/9))), i=1..10)]); # Robert Israel, Mar 01 2016

Mathematica

Do[ If[ Union[ Join[ {1, 2, 3, 4}, IntegerDigits[n^2] ] ] == {1, 2, 3, 4}, Print[n] ], {n, 0, 200000} ]

Prog

(PARI) isok(n) = my(d = digits(n^2)); vecmin(d) && (vecmax(d) <= 4); \\ Michel Marcus, Feb 29 2016

Crossrefs

Sequence in context: A160948 A299973 A136971 * A110126 A125020 A065020

Adjacent sequences: A061674 A061675 A061676 * A061678 A061679 A061680

Keyword

base,nonn

Author

Robert G. Wilson v, Jun 23 2001

Status

approved