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Search: id:A084807
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| A084807 |
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Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(1+I)/2. |
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+0
3
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| 1, 28, 40, 54, 69, 87, 107, 128, 152, 177, 205, 235, 267, 300, 336, 374, 414, 455, 499, 545, 593, 643, 695, 749, 805, 863, 923, 985, 1048, 1115, 1183, 1253, 1325, 1399, 1475, 1553, 1633, 1715, 1799, 1886, 1974, 2064, 2156, 2250, 2347, 2445, 2545, 2648, 2752
(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. A084799-A084806, A084808-A084810.
Sequence in context: A096430 A034964 A109798 this_sequence A047630 A135789 A154035
Adjacent sequences: A084804 A084805 A084806 this_sequence A084808 A084809 A084810
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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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