Search: id:A053836
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%I A053836
%S A053836 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,1,2,3,4,5,6,7,8,9,10,11,12,13,
%T A053836 14,15,16,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,3,4,5,6,7,8,9,10,11,
%U A053836 12,13,14,15,16,17,18,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,5,6,7
%N A053836 Sum of digits of n written in base 16.
%C A053836 a(n) = A138530(n,16) for n > 15. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Mar 26 2008
%H A053836 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Hexadecimal.html">Hexadecimal</a>
%H A053836 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               DigitSum.html">Digit Sum</a>
%F A053836 a(0)=0, a(16n+i)=a(n)+i 0<=i<=15; a(n)=n-15*(sum(k>0, floor(n/16^k)). 
               - Benoit Cloitre, Dec 19, 2002
%e A053836 a(20)=1+4=5 because 20 is written as 14 base 16
%o A053836 (PARI) a(n)=if(n<1,0,if(n%16,a(n-1)+1,a(n/16)))
%Y A053836 Cf. A000120, A007953.
%Y A053836 Sequence in context: A130909 A160700 A002377 this_sequence A025483 A053165 
               A056962
%Y A053836 Adjacent sequences: A053833 A053834 A053835 this_sequence A053837 A053838 
               A053839
%K A053836 base,nonn
%O A053836 0,3
%A A053836 Henry Bottomley (se16(AT)btinternet.com), Mar 28 2000

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