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A102487
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Numbers in base-12 representation that can be written with decimal digits.
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10
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 84, 85, 86
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listen;
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OFFSET
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1,3
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COMMENTS
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Numbers that are only in this sequence or only in A039274 but not in both are n= 131, 142, 275, 286, 419, 430 etc: see A039558. [From R. J. Mathar, Aug 30 2008]
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LINKS
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MATHEMATICA
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fQ[n_] := Last@ Union@ IntegerDigits[n, 12] < 10; Select[ Range[0, 86], fQ] (* Robert G. Wilson v, Apr 17 2012 *)
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PROG
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(PARI) {for(testn=0, 87,
lgt=1;
for(i=1, 1000, if(12^i > testn, lgt=i; break()));
atst=testn; pasr=1;
for(j=1, lgt, lasd=atst%12;
if(lasd<10, atst=(atst-lasd)/12, pasr=0; break()));
if(pasr==1, print1(testn, ", ")))}
(Haskell)
import Data.List (unfoldr)
a102487 n = a102487_list !! (n-1)
a102487_list = filter (all (< 10) . unfoldr (\x ->
if x == 0 then Nothing else Just $ swap $ divMod x 12)) [0..]
(Python)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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