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A257211
Numbers n such that the decimal expansions of both n and n^2 have 1 as smallest digit and 8 as largest digit.
16
128, 178, 871, 1128, 1178, 1218, 1258, 1278, 1284, 1328, 1358, 1368, 1478, 1678, 1681, 1768, 1778, 1784, 1785, 1828, 1874, 1881, 2681, 2861, 2871, 3418, 3581, 3718, 3816, 3841, 4178, 4318, 4815, 4831, 4841, 4881, 5178, 5181, 5182, 5318, 5815, 5841, 5871, 5881
OFFSET
1,1
LINKS
MATHEMATICA
fQ[n_] := Block[{d = DigitCount@ n}, Plus @@ Take[d, {9, 10}] == 0 && d[[1]] > 0 && d[[8]] > 0]; Select[Range@ 6000, fQ@ # && fQ[#^2] &] (* Michael De Vlieger, Apr 20 2015 *)
sd1ld8Q[n_]:=With[{idn=IntegerDigits[n]}, Max[idn]==8&&Min[idn]==1]; Select[ Range[ 6000], AllTrue[{#, #^2}, sd1ld8Q]&] (* Harvey P. Dale, Oct 14 2022 *)
PROG
(PARI) is(n) = vecmin(digits(n))==1 && vecmin(digits(n^2))==1 && vecmax(digits(n))==8 && vecmax(digits(n^2))==8
KEYWORD
nonn,base
AUTHOR
Felix Fröhlich, Apr 18 2015
STATUS
approved