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

0,3

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).

Links

Table of n, a(n) for n=0..57.

Crossrefs

Cf. A078824, A078823, A007088.

Sequence in context: A291773 A287752 A287493 * A361659 A331115 A327318

Adjacent sequences: A078822 A078823 A078824 * A078826 A078827 A078828

Keyword

nonn,base

Author

Reinhard Zumkeller, Dec 08 2002

Status

approved