A083652 - OEIS

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A083652

Sums of lengths of binary numbers.

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; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`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: A130240 A143118 A162800 * A118103 A185601 A157795` `Adjacent sequences: A083649 A083650 A083651 * A083653 A083654 A083655`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 01 2003`

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.