A256633 Numbers n such that the decimal expansions of both n and n^2 have 0 as smallest digit and 6 as largest digit.

60, 160, 460, 506, 560, 600, 601, 602, 605, 660, 1006, 1016, 1060, 1160, 1460, 1560, 1600, 1601, 1602, 1620, 2006, 2016, 2060, 2160, 2460, 2560, 3606, 4506, 4600, 4605, 4650, 5006, 5016, 5060, 5160, 5506, 5600, 5605, 5660, 6000, 6001, 6002, 6005, 6010, 6020

Offset: 1

Author

Felix Fröhlich, Apr 05 2015

Keywords

• nonn
• base

Links

• Felix Fröhlich, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A256630, A256631, A256634, A256708, A256709, A256889, A257085.

Programs

Mathematica

fQ[n_] := Block[{c = DigitCount@ n}, And[Plus @@ Take[c, {7, 9}] == 0, c[[6]] > 0, c[[10]] > 0]]; Select[Range@ 6400, fQ@ # && fQ[#^2] &] (* Michael De Vlieger, Apr 12 2015 *)
Select[Range[6100],With[{idn=IntegerDigits[#],idn2=IntegerDigits[#^2]},Min[idn]==Min[idn2]==0&&Max[idn]==Max[idn2]==6]&] (* Harvey P. Dale, Feb 06 2025 *)

PARI

is(n) = vecmin(digits(n))==0 && vecmin(digits(n^2))==0 && vecmax(digits(n))==6 && vecmax(digits(n^2))==6