J. Wellons, <a href="https://web.archive.org/web/20090206165028/http://jonathanwellons.com/shared-digits/">Tables of Shared Digits</a> [archived]

proposed

approved

editing

proposed

Numbers n k such that n k and the square of n k^2 use only the digits 1, 3, 4, 6 and 9.

Generated with DrScheme.

Jonathan Wellons, <a href="/A137027/b137027.txt">Table of n, a(n) for n = 1..520</a>

641431341949136^2 = 411434166434669436443611146496.

approved

editing

editing

approved

sdQ[n_]:=Module[{idn2=Union[IntegerDigits[n^2]]}, And@@Table[ MemberQ[ {1, 3, 4, 6, 9}, idn2[[i]]], {i, Length[idn2]}]]; Flatten[ Table[ Select[ FromDigits/@Tuples[{1, 3, 4, 6, 9}, d], sdQ], {d, 7}]] (* Harvey P. Dale, Jun 10 2013 *)

approved

editing

Jonathan Wellons, <a href="/A137027/b137027.txt">Table of n, a(n) for n=1..520</a>

base,nonn,new

Jonathan Wellons, <a href="http://www.research.att.com/~njas/sequences/b137027.txt">Table of n, a(n) for n=1..520</a>

base,nonn,new

Numbers n such that n and the square of n use only the digits 1, 3, 4, 6 and 9.

1, 3, 4, 6, 13, 14, 19, 31, 44, 63, 119, 369, 643, 1146, 1414, 1914, 3114, 3364, 4119, 6414, 6646, 11914, 11963, 14119, 31131, 31614, 34196, 36694, 44313, 64313, 64414, 141313, 191414, 311343, 316143, 336696, 363196, 366946, 411636, 411694, 641414, 969119, 1196646, 1414194, 1913469, 3334114, 3363646, 3649196, 3666969, 3693196, 4434114

1,2

Generated with DrScheme

Jonathan Wellons, <a href="http://www.research.att.com/~njas/sequences/b137027.txt">Table of n, a(n) for n=1..520</a>

J. Wellons, <a href="http://jonathanwellons.com/shared-digits/">Tables of Shared Digits</a>

641431341949136^2 = 411434166434669436443611146496

base,nonn

Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008

approved