login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A136839
Numbers k such that k and k^2 use only the digits 0, 1, 3, 4 and 7.
1
0, 1, 10, 100, 1000, 1071, 10000, 10710, 100000, 107100, 174071, 370771, 1000000, 1071000, 1170771, 1740710, 1743771, 3707710, 10000000, 10710000, 11707710, 17334071, 17407100, 17437710, 37077100, 100000000, 100370001, 107100000, 117077100, 133310701, 173340710, 174071000, 174073071, 174377100, 370771000, 374713771, 414017001
OFFSET
1,3
COMMENTS
Generated with DrScheme.
LINKS
J. Wellons, Tables of Shared Digits [archived]
EXAMPLE
414013773134071^2 = 171407404344710010137741033041.
MATHEMATICA
With[{c={0, 1, 3, 4, 7}}, Select[FromDigits/@Tuples[c, 9], SubsetQ[ c, IntegerDigits[ #^2]]&]] (* Harvey P. Dale, May 06 2018 *)
CROSSREFS
Sequence in context: A171758 A115798 A077439 * A136863 A031201 A228989
KEYWORD
base,nonn
AUTHOR
Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008
STATUS
approved