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”).

A137056
Numbers k such that k and k^2 use only the digits 1, 4, 6 and 9.
0
1, 4, 14, 119, 4119
OFFSET
1,2
COMMENTS
Generated with DrScheme.
From Pontus von Brömssen, May 01 2024: (Start)
a(6) > 10^43 (if it exists).
If k = x*10^m is a term where 1 <= x < 10 and k is not 1 or 119, then 1.1914114169419441614111944144941411111111191 < x < 20/3.
(End)
EXAMPLE
4119^2 = 16966161.
PROG
(PARI) isokd(d) = #setintersect([0, 2, 3, 5, 7, 8], Set(d)) == 0;
isok(k) = isokd(digits(k)) && isokd(digits(k^2)); \\ Michel Marcus, Jun 24 2021
CROSSREFS
Sequence in context: A065062 A240273 A137048 * A302021 A006824 A333730
KEYWORD
base,nonn,more
AUTHOR
Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008
STATUS
approved