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Sum of distinct binary numbers contained as substrings in binary, circular formed representation of n and not longer than n.
2

%I #3 Mar 30 2012 18:50:29

%S 0,1,3,4,7,17,17,11,15,37,18,62,37,62,62,26,31,77,69,130,69,120,120,

%T 186,77,130,120,186,130,186,186,57,63,157,141,266,70,249,249,382,141,

%U 249,81,371,249,189,371,501,157,266,249,382,249,371,189,501,266,382

%N Sum of distinct binary numbers contained as substrings in binary, circular formed representation of n and not longer than n.

%C a(2^k-1)=2^(k+1)-(k+2); a(2^k)=2^(k+1)-1;

%C for k>0: a(2^k+1)=a(3*2^(k-1))=2^(k+1);

%C a(2^k-1)=A078823(2^k-1), a(2^k)=A078823(2^k).

%Y Cf. A078824, A078823, A007088.

%K nonn,base

%O 0,3

%A _Reinhard Zumkeller_, Dec 08 2002