A121023 Multiples of 3 containing a 3 in their decimal representation.

3, 30, 33, 36, 39, 63, 93, 123, 132, 135, 138, 153, 183, 213, 231, 234, 237, 243, 273, 300, 303, 306, 309, 312, 315, 318, 321, 324, 327, 330, 333, 336, 339, 342, 345, 348, 351, 354, 357, 360, 363, 366, 369, 372, 375, 378, 381, 384, 387, 390, 393, 396, 399

Offset: 1

Author

Reinhard Zumkeller, Jul 21 2006

Keywords

• nonn
• base
• easy

Comments

Intersection of A008585 and A011533.

The graph of this sequence is (roughly) self-similar: it has the same appearance when the scale is multiplied by 10. - M. F. Hasler, Mar 09 2014

Links

• M. F. Hasler, Table of n, a(n) for n = 1..3440
• Index entries for 10-automatic sequences.

Crossrefs

Cf. A121041, A011531, A121022, A121024, A121025, A121026, A121027, A121028, A121029, A121030, A121031, A121032, A121033, A121034, A121035, A121036, A121037, A121038, A121039, A121040.

Programs

Mathematica

Select[3*Range[500], MemberQ[IntegerDigits[#],3] &] (* Paolo Xausa, Feb 25 2024 *)

PARI

is(n)=!(n%3)&&setsearch(Set(digits(n)),3) \\ M. F. Hasler, Mar 09 2014

PARI

c=0;forstep(n=3,3e4,3,is(n)&write("/tmp/b121023.txt",c++" "n))

Formula

a(n) ~ 3n. - Charles R Greathouse IV, Mar 31 2016

Extensions

Typo in comment fixed by Reinhard Zumkeller, May 01 2011