A084236 - OEIS

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A084236

a(n) = M(2^n), where M(n) is Mertens's function.

1, 0, -1, -2, -1, -4, -1, -2, -1, -4, -4, 7, -19, 22, -32, 26, 14, -20, 24, -125, 257, -362, 228, -10, 211, -1042, 329, 330, -1703, 6222, -10374 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,4`
	FORMULA	`Mertens's function: Sum_{1<=k<=n} mu(k), where mu = Moebius function (A008683).`
	MATHEMATICA	`s = 0; i = 1; Do[ While[i <= 2^n, s = s + MoebiusMu[i]; i++ ]; Print[s], {n, 0, 50}]`
	CROSSREFS	`Cf. A002321.` `Sequence in context: A057550 A059150 A133186 * A068057 A003484 A118827` `Adjacent sequences: A084233 A084234 A084235 * A084237 A084238 A084239`
	KEYWORD	`more,sign`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), May 15 2003`

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Last modified February 15 20:26 EST 2012. Contains 205852 sequences.