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Search: id:A084800
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| A084800 |
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Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(4+I*3)/5. |
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3
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| 1, 16, 18, 21, 25, 28, 31, 34, 38, 41, 44, 48, 52, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 104, 108, 112, 116, 121, 125, 130, 134, 139, 143, 148, 152, 157, 162, 166, 171, 176, 180, 185, 190, 195, 200, 205, 209, 214, 219, 224, 229, 234, 239, 244, 249, 255, 260
(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, A084801-A084810.
Sequence in context: A077914 A161874 A095953 this_sequence A065426 A031168 A097746
Adjacent sequences: A084797 A084798 A084799 this_sequence A084801 A084802 A084803
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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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