A106491 - OEIS

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A106491

Total number of bases and exponents in Quetian Superfactorization of n, including the unity-exponents at the tips of branches.

1, 2, 2, 3, 2, 4, 2, 3, 3, 4, 2, 5, 2, 4, 4, 4, 2, 5, 2, 5, 4, 4, 2, 5, 3, 4, 3, 5, 2, 6, 2, 3, 4, 4, 4, 6, 2, 4, 4, 5, 2, 6, 2, 5, 5, 4, 2, 6, 3, 5, 4, 5, 2, 5, 4, 5, 4, 4, 2, 7, 2, 4, 5, 5, 4, 6, 2, 5, 4, 6, 2, 6, 2, 4, 5, 5, 4, 6, 2, 6, 4, 4, 2, 7, 4, 4, 4, 5, 2, 7, 4, 5, 4, 4, 4, 5, 2, 5, 5, 6, 2, 6 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	LINKS	`A. Karttunen, Scheme-program for computing this sequence.`
	EXAMPLE	`a(64) = 5, as 64 = 2^6 = 2^(2^13^1) and there are 5 nodes in that superfactorization. Similarly, for 360 = 2^(3^1) 3^(2^1) * 5^1 we get a(360) = 8. See comments at A106490.`
	CROSSREFS	`a(n) = A106494(A106444(n)). a(n) = A106490(n)+A064372(n). Cf. also A106492.` `Sequence in context: A083902 A205562 A196437 * A073184 A073182 A049599` `Adjacent sequences: A106488 A106489 A106490 * A106492 A106493 A106494`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)iki.fi), May 09 2005 based on Leroy Quet's message ('Super-Factoring' An Integer) posted to SeqFan-mailing list on Dec 06 2003.`

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Last modified February 16 19:14 EST 2012. Contains 205945 sequences.