

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
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OFFSET

1,1


COMMENTS

Subset of A038770 and A139138.


LINKS

Paolo P. Lava, Table of n, a(n) for n = 1..1000


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

Cf. A038770, A139138.
Sequence in context: A189836 A292683 A139138 * A113600 A255725 A287442
Adjacent sequences: A249763 A249764 A249765 * A249767 A249768 A249769


KEYWORD

nonn,base


AUTHOR

Paolo P. Lava, Nov 05 2014


STATUS

approved



