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A117482
Numbers with no 1's in their base-3, base-4, and base-5 expansions. Intersection of A005823, A023709, and A023725.
0
0, 2, 60, 62, 512, 560, 2178, 15072, 15074, 15090, 40992, 40994, 41004, 41010, 43760, 43818, 43820, 45260, 45704, 45710, 45738, 45740, 45744, 53192, 53198, 57512, 57518, 57570, 163842, 163854, 164000, 164018, 164024
OFFSET
1,2
COMMENTS
No more terms <= 1000000. - Emeric Deutsch, Apr 30 2006
No more terms <= 5000000. - Harvey P. Dale, Jan 17 2014
EXAMPLE
560 is in the sequence because in base 3 it is 202202, in base 4 it is 20300 and in base 5 it is 4220.
MAPLE
a:=proc(n) if member(1, convert(convert(n, base, 3), set) union convert(convert(n, base, 4), set) union convert(convert(n, base, 5), set))=false then n else fi end: seq(a(n), n=0..170000); # Emeric Deutsch, Apr 30 2006
MATHEMATICA
Select[Range[0, 200000], Table[DigitCount[#, n, 1], {n, 3, 5}]=={0, 0, 0}&] (* Harvey P. Dale, Jan 17 2014 *)
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Zak Seidov, Apr 26 2006
STATUS
approved