A134467 - OEIS

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A134467

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

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; refs; listen; history; internal format)

	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).`
	PROG	`(PARI) a(n)=n*(n+1) - subst(Pol(binary(n)), x, 1)`
	CROSSREFS	`Cf. A000120; A134097, A134098.` `Sequence in context: A115289 A168567 A185440 * A178132 A047882 A184260` `Adjacent sequences: A134464 A134465 A134466 * A134468 A134469 A134470`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Oct 27 2007`

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Last modified February 16 13:30 EST 2012. Contains 205909 sequences.