[go: up one dir, main page]

login
A121023
Multiples of 3 containing a 3 in their decimal representation.
34
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
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))
KEYWORD
nonn,base,easy
AUTHOR
Reinhard Zumkeller, Jul 21 2006
EXTENSIONS
Typo in comment fixed by Reinhard Zumkeller, May 01 2011
STATUS
approved