A249766 Numbers n = concat(s,t) such that s and t divide n.

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

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