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A083652 Sums of lengths of binary numbers. +0
4
1, 2, 4, 6, 9, 12, 15, 18, 22, 26, 30, 34, 38, 42, 46, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 136, 142, 148, 154, 160, 166, 172, 178, 184, 190, 196, 202, 208, 214, 220, 226, 232, 238, 244, 250, 256, 262, 268, 274, 280, 286, 292 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n) = A001855(n)+1 for n>0;

a(0)=A070939(0)=1, n>0: a(n)=a(n)+A070939(n).

A030190(a(k))=1; A030530(a(k))=k+1.

FORMULA

a(n) = 2 + (n+1)*ceil(Log2(n+1)) - 2^ceil(Log2(n+1)).

CROSSREFS

Cf. A007088.

Sequence in context: A064424 A067850 A130240 this_sequence A118103 A003066 A075349

Adjacent sequences: A083649 A083650 A083651 this_sequence A083653 A083654 A083655

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), May 01 2003

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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