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Search: id:A106491
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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. +0
7
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; listen)
OFFSET

1,2

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

A. Karttunen, Scheme-program for computing this sequence.

EXAMPLE

a(64) = 5, as 64 = 2^6 = 2^(2^1*3^1) 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: A141829 A111336 A083902 this_sequence A073184 A073182 A049599

Adjacent sequences: A106488 A106489 A106490 this_sequence 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 December 16 17:18 EST 2009. Contains 170825 sequences.


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