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A137027 Numbers k such that k and k^2 use only the digits 1, 3, 4, 6 and 9. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Generated with DrScheme.

LINKS

Jonathan Wellons, Table of n, a(n) for n = 1..520

J. Wellons, Tables of Shared Digits

EXAMPLE

641431341949136^2 = 411434166434669436443611146496.

MATHEMATICA

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 *)

CROSSREFS

Sequence in context: A061080 A254049 A280289 * A244409 A102733 A032712

Adjacent sequences:  A137024 A137025 A137026 * A137028 A137029 A137030

KEYWORD

base,nonn

AUTHOR

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

STATUS

approved

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Last modified January 25 00:44 EST 2022. Contains 350565 sequences. (Running on oeis4.)