A230193 - OEIS

%I #28 Mar 25 2021 04:56:17

%S 3,6,9,11,12,15,18,21,22,24,27,30,33,36,39,42,44,45,48,51,54,55,57,60,

%T 63,66,69,72,75,77,78,81,84,87,88,90,93,96,99,102,105,108,110,111,114,

%U 117,120,121,123,126,129,132,135,138,141,143,144,147,150,153

%N Numbers divisible by 3 or 11.

%C In general, sequences of numbers divisible by primes p and q have the form a(n+p+q-1) = a(n) + p*q.

%C Union of A008585 and A008593 (0 excluded). - _Michel Marcus_, Oct 16 2013

%C The asymptotic density of this sequence is 13/33. - _Amiram Eldar_, Mar 25 2021

%H Amiram Eldar, <a href="/A230193/b230193.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n+13) = a(n) + 33.

%p for n from 1 to 53 do if n mod 3 = 0 and n mod 11 = 0 then print(n) fi od

%t Select[Range[200], GCD[#, 33] > 1 &] (* _T. D. Noe_, Oct 15 2013 *)

%Y Complement of A229968.

%Y Cf. A008585, A008593.

%K nonn

%O 1,1

%A _Gary Detlefs_, Oct 11 2013