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A119704 a(n) = number of distinct prime factors of 10^n+1, omega(10^n+1). +0
2
1, 1, 1, 3, 2, 2, 2, 2, 2, 5, 3, 4, 3, 3, 4, 7, 5, 4, 3, 2, 4, 7, 4, 5, 3, 5, 3, 7, 4, 3, 7, 2, 4, 8, 4, 5, 6, 4, 3, 9, 4, 3, 7, 4, 4, 12, 4, 4, 9, 4, 7, 8, 4, 2, 6, 9, 5, 6, 5, 4, 6, 3, 3, 11, 3, 6, 8, 2, 4, 10, 11, 3, 5, 4, 7, 11, 6, 11, 7, 4, 9, 11, 3, 7, 8, 8, 3, 8, 4, 4, 11, 6, 4, 8, 4, 6, 8, 4 (list; graph; listen)
OFFSET

0,4

LINKS

M. Kamada, Factorizations of 100...001

FORMULA

a(n)=A104223(n-1), n>0. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 08 2008]

EXAMPLE

a(11) = 4 because 10^11+1 = 11*11*23*4093*8779: 4 distinct factors.

MATHEMATICA

Table[Length[FactorInteger[10^n + 1]], {n, 0, 50}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jun 13 2006

CROSSREFS

Cf. A001221, A003021, A038371, A057934, A062397.

Sequence in context: A067438 A058758 A104223 this_sequence A057934 A122396 A037199

Adjacent sequences: A119701 A119702 A119703 this_sequence A119705 A119706 A119707

KEYWORD

nonn

AUTHOR

Lekraj Beedassy (blekraj(AT)yahoo.com), Jun 09 2006

EXTENSIONS

More terms from Don Reble (djr(AT)nk.ca), Jun 13 2006

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.


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