

A152834


Numbers of form 6k+1 that use only digits 2 and 3.


3



223, 2233, 2323, 3223, 22333, 23233, 23323, 32233, 32323, 33223, 222223, 223333, 232333, 233233, 233323, 322333, 323233, 323323, 332233, 332323, 333223, 2222233, 2222323, 2223223, 2232223, 2233333, 2322223, 2323333, 2332333, 2333233, 2333323, 3222223
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

Equivalently, sequences of 2's and 3's, ending with 3, where the number of 2's is congruent to 2 mod 3.  Franklin T. AdamsWatters, Dec 14 2008


LINKS

Robert Israel, Table of n, a(n) for n = 1..340
Index entries for 10automatic sequences.


MAPLE

(Maple program from Robert Israel:)
M:= proc(n) option remember; (map(t > 2*10^n+t, M(n1)) union map(t >
3*10^n+t, M(n1))) end proc;
M(0):= {2, 3};
select(t > (t mod 6 = 1), `union`(seq(M(n), n=1..9)));


MATHEMATICA

Do[If[Union[IntegerDigits[6k+1]]=={2, 3}, Print[6k+1]], {k, 100000}]
Select[Flatten[Table[FromDigits/@Tuples[{2, 3}, n], {n, 7}]], Mod[#, 6]==1&] (* Harvey P. Dale, Aug 02 2015 *)


PROG

(PARI) is(n)=n%30==13 && Set(digits(n))==[2, 3] \\ Charles R Greathouse IV, Feb 15 2017


CROSSREFS

Subsequence of A152824.
Sequence in context: A253953 A205273 A205266 * A139233 A205265 A153165
Adjacent sequences: A152831 A152832 A152833 * A152835 A152836 A152837


KEYWORD

nonn,base,easy


AUTHOR

Zak Seidov, Dec 14 2008


EXTENSIONS

Extended by Robert Israel, Dec 14 2008


STATUS

approved



