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Search: id:A144925
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| A144925 |
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Number of distinctive multiplying factors in a composite number, not necessarily primes. The first four numbers could be generated as the numerators of the composite number sequence: (1/(z^4)) + (2/(z^6)) + (2/(z^8)) + (1/(z^9)) + ... |
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+0
1
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| 1, 2, 2, 1, 2, 4, 2, 2, 3, 4, 4, 2, 2, 6, 1, 2, 2, 4, 6, 4, 2, 2, 2, 7, 2, 2, 6, 6, 4, 4, 2, 8, 1, 4
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The above sequence could be generated by the Maxima statement function: numcompz(n):=taylor(sum(1/(z^i*(z^i-1)),i,2,n),z, inf,n)$ Example: numcompz(10) = (1/(z^4)) + (2/(z^6)) + (2/(z^8)) + (1/(z^9)) + (2/(z^10)) + . . . The numerator sequence is [1,2,2,1,2,...]
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REFERENCES
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Y. K. Huen, A matrix map for prime and non-prime numbers, Int J Math. Educ. Sci. Technol} 6: 913-920, 1994.
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LINKS
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Y. K. Huen, AQNT Project Homepage
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FORMULA
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numcompz(n):=taylor(sum(1/(z^i*(z^i-1)),i,2,n),z, inf,n)$
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EXAMPLE
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numcompz(10) = (1/(z^4)) + (2/(z^6)) + (2/(z^8)) + (1/(z^9)) + (2/(z^10)) + . . . The numerators of the output sequence is [1,2,2,1,2,...]
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MAPLE
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numcompz(n):=taylor(sum(1/(z^i*(z^i-1)), i, 2, n), z, inf, n)$
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CROSSREFS
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Adjacent sequences: A144922 A144923 A144924 this_sequence A144926 A144927 A144928
Sequence in context: A055076 A069780 A066954 this_sequence A029262 A129687 A128176
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KEYWORD
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nonn
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AUTHOR
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Huen Yeong Kong (cosmology(AT)pacific.net.sg), Sep 25 2008
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