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

1,1

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.

Formula

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

Mathematica

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

Prog

(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))

Crossrefs

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

Sequence in context: A217395 A077679 A045863 * A124520 A350814 A169966

Adjacent sequences: A121020 A121021 A121022 * A121024 A121025 A121026

Keyword

nonn,base,easy

Author

Reinhard Zumkeller, Jul 21 2006

Extensions

Typo in comment fixed by Reinhard Zumkeller, May 01 2011

Status

approved