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Search: id:A084804
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| A084804 |
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Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(60+I*11)/61. |
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+0
4
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| 1, 6072, 6078, 6084, 6091, 6097, 6104, 6110, 6116, 6123, 6129, 6136, 6142, 6148, 6155, 6161, 6168, 6174, 6180, 6187, 6193, 6200, 6206, 6212, 6219, 6225, 6232, 6238, 6244, 6251, 6257, 6264, 6270, 6276, 6283, 6289, 6296, 6302, 6308, 6315, 6321, 6328
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Sequence satisfies sum(n>0,1/a(n)^z)=0 by requiring that the modulus of the successive partial sums are monotonically decreasing in magnitude for the given z.
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PROGRAM
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(PARI) S=0; w=1; a=0; for(n=1, 100, b=a+1; while(abs(S+exp(-z*log(b)))>w, b++); S=S+exp(-z*log(b)); w=abs(S); a=b; print1(b, ", "))
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CROSSREFS
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Cf. A084589, A084799-A084803, A084805-A084810.
Sequence in context: A064248 A157652 A157267 this_sequence A025515 A031666 A031576
Adjacent sequences: A084801 A084802 A084803 this_sequence A084805 A084806 A084807
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jun 04 2003
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