id:A134467 - OEIS Search Results

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a(n) = n(n+1) - A000120(n), where A000120(n) = number of 1's in binary expansion of n.

+0
1

0, 1, 5, 10, 19, 28, 40, 53, 71, 88, 108, 129, 154, 179, 207, 236, 271, 304, 340, 377, 418, 459, 503, 548, 598, 647, 699, 752, 809, 866, 926, 987, 1055, 1120, 1188, 1257, 1330, 1403, 1479, 1556, 1638, 1719, 1803, 1888, 1977, 2066, 2158, 2251, 2350, 2447, 2547 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`2^a(n) = denominator of [x^n] (1+x)^(1/2^n) for n>=0 (see A134098); similarily, 2^a(n) = denominator of [x^n] 1/(1-x)^(1/2^n) for n>=0 (see A134097).`
	PROGRAM	`(PARI) a(n)=n*(n+1) - subst(Pol(binary(n)), x, 1)`
	CROSSREFS	`Cf. A000120; A134097, A134098.` `Adjacent sequences: A134464 A134465 A134466 this_sequence A134468 A134469 A134470` `Sequence in context: A091922 A030776 A115289 this_sequence A047882 A053311 A147390`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Oct 27 2007`

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Last modified January 8 02:43 EST 2009. Contains 152824 sequences.

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