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Search: id:A084802
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| A084802 |
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Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(24+i*7)/25. |
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+0
3
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| 1, 276, 280, 285, 289, 294, 298, 303, 307, 312, 316, 321, 325, 330, 334, 339, 343, 348, 352, 357, 361, 366, 370, 375, 379, 384, 388, 393, 397, 402, 406, 411, 415, 420, 425, 429, 434, 438, 443, 447, 452, 456, 461, 466, 470, 475, 479, 484, 488, 493, 498, 502
(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, A084803-A084810.
Sequence in context: A133536 A075666 A121743 this_sequence A003903 A131884 A008892
Adjacent sequences: A084799 A084800 A084801 this_sequence A084803 A084804 A084805
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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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