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”).

A249766
Numbers n = concat(s,t) such that s and t divide n.
3
11, 12, 15, 22, 24, 33, 36, 44, 48, 55, 66, 77, 88, 99, 101, 102, 104, 105, 110, 120, 125, 150, 202, 204, 208, 210, 220, 240, 250, 303, 306, 312, 315, 330, 360, 375, 404, 408, 416, 420, 440, 480, 505, 510, 520, 525, 550, 606, 612, 624, 630, 660, 707, 714, 728
OFFSET
1,1
COMMENTS
Subset of A038770 and A139138.
LINKS
EXAMPLE
306 = concat(3, 06) and 306 / 3 = 102 and 306 / 6 = 51.
76152 = concat(76, 152) and 76152 / 76 = 1002 and 76152 / 152 = 501.
MAPLE
with(numtheory):P:=proc(q) local a, b, k, n;
for n from 1 to q do for k from 1 to ilog10(n) do a:=n mod 10^k; b:=trunc(n/10^k);
if a*b>0 then if type(n/a, integer) and type(n/b, integer) then print(n); break;
fi; fi; od; od; end: P(10^6);
CROSSREFS
Sequence in context: A189836 A292683 A139138 * A113600 A255725 A287442
KEYWORD
nonn,base
AUTHOR
Paolo P. Lava, Nov 05 2014
STATUS
approved