id:A071295 - OEIS Search Results

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Product of numbers of 0's and 1' in binary representation of n.

+0
1

0, 0, 1, 0, 2, 2, 2, 0, 3, 4, 4, 3, 4, 3, 3, 0, 4, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 4, 6, 4, 4, 0, 5, 8, 8, 9, 8, 9, 9, 8, 8, 9, 9, 8, 9, 8, 8, 5, 8, 9, 9, 8, 9, 8, 8, 5, 9, 8, 8, 5, 8, 5, 5, 0, 6, 10, 10, 12, 10, 12, 12, 12, 10, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12, 10, 12, 12, 12 (list; graph; listen)

	OFFSET	`0,5`
	COMMENT	`a(n) = A023416(n)A000120(n);` `a(1)=0, a(2n)=(A023416(n)+1)A000120(n), a(2n+1)=(A000120(n)+1)*A023416(n);` `a(n) = 0 iff n=2^k-1 for some k.`
	LINKS	`T. D. Noe, Table of n, a(n) for n=0..1023`
	FORMULA	`a(n)=a(n\2)+(1 - n mod 2)A000120(n\2)+(n mod 2)A023416(n\2).`
	EXAMPLE	`a(14)=3 because 14 is 1110 in binary and has 3 ones and 1 zero.`
	MATHEMATICA	`f[n_] := Block[{s = IntegerDigits[n, 2]}, Count[s, 0] Count[s, 1]]; Table[ f[n], {n, 0, 90}]`
	CROSSREFS	`Cf. A007088.` `Sequence in context: A134577 A071442 A124759 this_sequence A103223 A091399 A000091` `Adjacent sequences: A071292 A071293 A071294 this_sequence A071296 A071297 A071298`
	KEYWORD	`nonn,nice,base`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 20 2002`
	EXTENSIONS	`Edited by N. J. A. Sloane (njas(AT)research.att.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 11 2002`

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Last modified December 9 14:43 EST 2009. Contains 170430 sequences.

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