A078825 Sum of distinct binary numbers contained as substrings in binary, circular formed representation of n and not longer than n.

0, 1, 3, 4, 7, 17, 17, 11, 15, 37, 18, 62, 37, 62, 62, 26, 31, 77, 69, 130, 69, 120, 120, 186, 77, 130, 120, 186, 130, 186, 186, 57, 63, 157, 141, 266, 70, 249, 249, 382, 141, 249, 81, 371, 249, 189, 371, 501, 157, 266, 249, 382, 249, 371, 189, 501, 266, 382

Offset: 0

Author

Reinhard Zumkeller, Dec 08 2002

Keywords

• nonn
• base

Comments

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

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

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

Crossrefs

Cf. A078824, A078823, A007088.