Search: id:A037314
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%I A037314
%S A037314 1,2,9,10,11,18,19,20,81,82,83,90,91,92,99,100,101,162,163,164,
%T A037314 171,172,173,180,181,182,729,730,731,738,739,740,747,748,749,
%U A037314 810,811,812,819,820,821,828,829,830,891,892,893,900,901,902
%N A037314 Numbers n such that (sum of base 3 digits of n)=(sum of base 9 digits 
               of n).
%C A037314 a(n)=Sum{d(i)*9^i: i=0,1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is 
               the base 3 representation of n.
%F A037314 Numbers that can be written using only digits 0, 1 and 2 in base 9. Also, 
               write n in base 3, read as base 9: (3) [n] (9) in base change notation. 
               a(3n+k) = 9a(n)+k for k in {0,1,2}. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), 
               Jul 24 2006
%Y A037314 Cf. A007089.
%Y A037314 Sequence in context: A077214 A135782 A037457 this_sequence A031443 A051017 
               A078180
%Y A037314 Adjacent sequences: A037311 A037312 A037313 this_sequence A037315 A037316 
               A037317
%K A037314 nonn,base
%O A037314 1,2
%A A037314 Clark Kimberling (ck6(AT)evansville.edu)
%E A037314 Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion 
               of Andrew Plewe, Jun 08 2007

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