Search: id:A074330
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%I A074330
%S A074330 2,4,8,10,14,18,26,28,32,36,44,48,56,64,80,82,86,90,98,102,110,118,134,
%T A074330 138,146,154,170,178,194,210,242,244,248,252,260,264,272,280,296,300,
%U A074330 308,316,332,340,356,372,404,408,416,424,440,448,464,480,512,520,536
%N A074330 a(n)=sum(k=1,n,2^b(k)) where b(k) denotes the number of 1's in the binary 
               representation of k.
%F A074330 a(n+1)-a(n) = A001316(n)
%F A074330 a(0)=0, a(2n) = 2a(n-1) + a(n) + 2, a(2n+1) = 3a(n) + 2. G.f. 1/(1-x) 
               * prod(k>=0, 1 + 2x^2^k). - Ralf Stephan (ralf(AT)ark.in-berlin.de), 
               Oct 07 2003
%o A074330 (PARI) a(n)=sum(i=1,n,2^sum(k=1,length(binary(i)), component(binary(i),
               k)))
%Y A074330 a(n) = A006046(n+1)-1. Cf. A080263.
%Y A074330 Sequence in context: A034822 A050567 A069879 this_sequence A024895 A087915 
               A088967
%Y A074330 Adjacent sequences: A074327 A074328 A074329 this_sequence A074331 A074332 
               A074333
%K A074330 easy,nonn
%O A074330 1,1
%A A074330 Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 06 2002

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