A230193 Numbers divisible by 3 or 11.

3, 6, 9, 11, 12, 15, 18, 21, 22, 24, 27, 30, 33, 36, 39, 42, 44, 45, 48, 51, 54, 55, 57, 60, 63, 66, 69, 72, 75, 77, 78, 81, 84, 87, 88, 90, 93, 96, 99, 102, 105, 108, 110, 111, 114, 117, 120, 121, 123, 126, 129, 132, 135, 138, 141, 143, 144, 147, 150, 153

Offset: 1

Author

Gary Detlefs, Oct 11 2013

Keywords

• nonn

Comments

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

Union of A008585 and A008593 (0 excluded). - Michel Marcus, Oct 16 2013

The asymptotic density of this sequence is 13/33. - Amiram Eldar, Mar 25 2021

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Complement of A229968.

Cf. A008585, A008593.

Programs

Maple

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

Mathematica

Select[Range[200], GCD[#, 33] > 1 &] (* T. D. Noe, Oct 15 2013 *)

Formula

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