id:A004754 - OEIS Search Results

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Numbers n such that binary expansion starts 10.

+0
9

2, 4, 5, 8, 9, 10, 11, 16, 17, 18, 19, 20, 21, 22, 23, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 128, 129, 130, 131 (list; graph; listen)

	OFFSET	`1,1`
	LINKS	`R. Stephan, Some divide-and-conquer sequences ...` `R. Stephan, Table of generating functions`
	FORMULA	`a(2n) = 2a(n), a(2n+1) = 2a(n) + 1 + [n==0].` `a(n) = n + 2^floor(log2(n)) = n + A053644(n).`
	EXAMPLE	`10 in binary is 1010, so 10 is in sequence.`
	PROGRAM	`(PARI) a(n)=n+2^floor(log(n)/log(2))`
	CROSSREFS	`Cf. A004755 (11), A004756 (100), A004757 (101), A004758 (110), A004759 (111).` `Cf. A004760, A053644, A062050, A076877.` `Apart from initial terms, same as A004761.` `Adjacent sequences: A004751 A004752 A004753 this_sequence A004755 A004756 A004757` `Sequence in context: A072008 A072756 A004761 this_sequence A010450 A035231 A035259`
	KEYWORD	`nonn`
	AUTHOR	`njas`
	EXTENSIONS	`Edited by Ralf Stephan (ralf(AT)ark.in-berlin.de), Oct 12 2003`

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.

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