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 A249766 Numbers n = concat(s,t) such that s and t divide n. 3

%I

%S 11,12,15,22,24,33,36,44,48,55,66,77,88,99,101,102,104,105,110,120,

%T 125,150,202,204,208,210,220,240,250,303,306,312,315,330,360,375,404,

%U 408,416,420,440,480,505,510,520,525,550,606,612,624,630,660,707,714,728

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

%C Subset of A038770 and A139138.

%H Paolo P. Lava, <a href="/A249766/b249766.txt">Table of n, a(n) for n = 1..1000</a>

%e 306 = concat(3, 06) and 306 / 3 = 102 and 306 / 6 = 51.

%e 76152 = concat(76, 152) and 76152 / 76 = 1002 and 76152 / 152 = 501.

%p with(numtheory):P:=proc(q) local a,b,k,n;

%p 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);

%p if a*b>0 then if type(n/a,integer) and type(n/b,integer) then print(n); break;

%p fi; fi; od; od; end: P(10^6);

%Y Cf. A038770, A139138.

%K nonn,base

%O 1,1

%A _Paolo P. Lava_, Nov 05 2014

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Last modified July 19 22:14 EDT 2019. Contains 325168 sequences. (Running on oeis4.)