id:A090706 - OEIS Search Results

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Number of numbers having in binary representation as many 0's and 1's as n.

+0
4

1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 4, 4, 6, 4, 6, 6, 4, 4, 6, 6, 4, 6, 4, 4, 1, 1, 5, 5, 10, 5, 10, 10, 10, 5, 10, 10, 10, 10, 10, 10, 5, 5, 10, 10, 10, 10, 10, 10, 5, 10, 10, 10, 5, 10, 5, 5, 1, 1, 6, 6, 15, 6, 15, 15, 20, 6, 15, 15, 20, 15, 20, 20, 15, 6, 15, 15, 20, 15, 20 (list; graph; listen)

	OFFSET	`1,5`
	COMMENT	`a(n) = binomial(A070939(n)-1, A000120(n)-1).`
	LINKS	`Index entries for sequences related to binary expansion of n` `Eric Weisstein's World of Mathematics, Binary` `Eric Weisstein's World of Mathematics, Digit Count`
	FORMULA	`a(n) = binomial(A070939(n)-1, A023416(n)).`
	EXAMPLE	`n=25->'11001': a(25) = #{'10011'->19, '10101'->21, '10110'->22, '11001'->25, '11010'->26, '11100'->28} = 6.`
	CROSSREFS	`Cf. A007088.` `Sequence in context: A140408 A047080 A036064 this_sequence A050935 A104769 A078013` `Adjacent sequences: A090703 A090704 A090705 this_sequence A090707 A090708 A090709`
	KEYWORD	`nonn,base`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jan 15 2004`

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.

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