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A033050
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Numbers whose set of base 14 digits is {0,1}.
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4
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0, 1, 14, 15, 196, 197, 210, 211, 2744, 2745, 2758, 2759, 2940, 2941, 2954, 2955, 38416, 38417, 38430, 38431, 38612, 38613, 38626, 38627, 41160, 41161, 41174, 41175, 41356, 41357, 41370, 41371, 537824, 537825, 537838, 537839, 538020
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OFFSET
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0,3
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COMMENTS
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Sums of distinct powers of 14.
The base-14 digits may comprise zero, one, or both. - Harvey P. Dale, May 12 2014
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LINKS
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FORMULA
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a(n) = Sum_{i=0..m} d(i)*14^i, where Sum_{i=0..m} d(i)*2^i is the base-2 representation of n.
a(2n) = 14*a(n), a(2n+1) = a(2n)+1.
G.f.: (1/(1 - x))*Sum_{k>=0} 14^k*x^(2^k)/(1 + x^(2^k)). - Ilya Gutkovskiy, Jun 04 2017
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MATHEMATICA
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Select[Range[0, 540000], Max[IntegerDigits[#, 14]]<2&] (* Harvey P. Dale, May 12 2014 *)
FromDigits[#, 14]&/@Tuples[{0, 1}, 6] (* Harvey P. Dale, Jun 18 2021 *)
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PROG
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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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EXTENSIONS
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STATUS
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approved
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