login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A118734
Numbers n such that 2^n and 3^n have even digit sum.
9
6, 15, 33, 37, 42, 43, 44, 46, 47, 50, 54, 55, 57, 58, 64, 67, 70, 71, 77, 82, 83, 84, 85, 90, 95, 102, 106, 107, 112, 116, 120, 122, 126, 129, 135, 136, 138, 140, 142, 149, 154, 161, 168, 170, 173, 176, 178, 179, 180, 181, 185, 193, 195, 198, 200, 207, 209, 210, 217
OFFSET
1,1
LINKS
MAPLE
filter:= proc(n) convert(convert(2^n, base, 10), `+`)::even and convert(convert(3^n, base, 10), `+`)::even end proc:
select(filter, [$1..1000]); # Robert Israel, Apr 12 2021
MATHEMATICA
Select[Range[220], And @@ ((Mod[ Plus @@ IntegerDigits[ # ], 2] == 0 &) /@ {2^#, 3^#}) &] (* Ray Chandler, Jun 10 2006 *)
CROSSREFS
Cf. Intersection of A118730 and A118733.
Sequence in context: A121666 A186829 A231452 * A200895 A225278 A213779
KEYWORD
base,nonn
AUTHOR
Zak Seidov, May 22 2006
EXTENSIONS
Extended by Ray Chandler, Jun 10 2006
STATUS
approved