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A033050 Numbers whose set of base 14 digits is {0,1}. 4

%I

%S 0,1,14,15,196,197,210,211,2744,2745,2758,2759,2940,2941,2954,2955,

%T 38416,38417,38430,38431,38612,38613,38626,38627,41160,41161,41174,

%U 41175,41356,41357,41370,41371,537824,537825,537838,537839,538020

%N Numbers whose set of base 14 digits is {0,1}.

%C Sums of distinct powers of 14.

%C The base-14 digits may comprise zero, one, or both. - _Harvey P. Dale_, May 12 2014

%H T. D. Noe, <a href="/A033050/b033050.txt">Table of n, a(n) for n = 0..1023</a>

%F a(n) = Sum{d(i)*14^i: i=0, 1, ..., m}, where Sum{d(i)*2^i: i=0, 1, ..., m} is the base 2 representation of n.

%F a(n) = A097260(n)/13.

%F a(2n) = 14*a(n), a(2n+1) = a(2n)+1.

%F a(n) = Sum_{k>=0} A030308(n,k)*14^k. - _Philippe Deléham_, Oct 20 2011

%F G.f.: (1/(1 - x))*Sum_{k>=0} 14^k*x^(2^k)/(1 + x^(2^k)). - _Ilya Gutkovskiy_, Jun 04 2017

%t Select[Range[0,540000],Max[IntegerDigits[#,14]]<2&] (* _Harvey P. Dale_, May 12 2014 *)

%o (PARI) A033050(n,b=14)=subst(Pol(binary(n)),'x,b) \\ _M. F. Hasler_, Feb 01 2016

%Y Cf. A000695, A005836, A033042-A033052.

%Y Row 13 of array A104257.

%K nonn,base

%O 0,3

%A _Clark Kimberling_

%E Extended by _Ray Chandler_, Aug 03 2004

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Last modified May 31 16:29 EDT 2020. Contains 334748 sequences. (Running on oeis4.)