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Search: id:A145105
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| A145105 |
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The above sequence displays all prime numbers starting from 2 which are odd perfect numbers and all even perfect numbers starting from 6. These are filtered according to the revised defintion of perfect numbers. |
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1
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| 2, 3, 0, 5, 6, 7, 0, 0, 0, 11, 0, 13, 0, 0, 0, 17, 0, 19, 0, 0, 0, 23, 0, 0, 0, 0, 28, 29, 0, 31, 0, 0, 0, 0, 0, 37, 0, 0, 0, 41, 0, 43, 0, 0, 0, 47, 0, 0, 0, 0, 0, 53, 0, 0, 0, 0, 0, 59, 0, 61, 0, 0, 0, 0, 0, 67, 0, 0, 0, 71, 0, 73, 0, 0, 0, 0, 0, 79, 0, 0, 0, 83, 0, 0, 0, 0, 0, 89, 0, 0, 0
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Generating funciton for the sequence: makelist( ( (num(part(xxx,j))-1)* k_delta( num(part(xxx,j))-1, part( powers(denom(part(xxx,j)),z),1)) +epf (num(part(xxx,j))/2)* k_delta( num(part(xxx,j))/2, part( powers(denom(part(xxx,j)),z),1))),j,1,length(xxx));
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REFERENCES
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Y. K. Huen, A matrix map for prime and non-prime numbers, International Journal Of Mathematics, Education, Science and Technolology Vol. 6: pages 913-920, 1994.
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LINKS
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Y. K. HuenQNT Cosmological Model
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FORMULA
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makelist( ( (num(part(xxx,j))-1)* k_delta( num(part(xxx,j))-1, part( powers(denom(part(xxx,j)),z),1)) +epf (num(part(xxx,j))/2)* k_delta( num(part(xxx,j))/2, part( powers(denom(part(xxx,j)),z),1))),j,1,length(xxx));
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EXAMPLE
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j=1 generates 2, j=2 generated 3 and so so.
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CROSSREFS
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Sequence in context: A140508 A063956 A128214 this_sequence A140700 A055615 A049268
Adjacent sequences: A145102 A145103 A145104 this_sequence A145106 A145107 A145108
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KEYWORD
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nonn,uned
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AUTHOR
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Huen Yeong Kong (cosmology(AT)pacific.net.sg), Oct 02 2008
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