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Search: id:A084838
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| A084838 |
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Smallest integers that satisfy sum(n>0, mu( a(n) )/a(n))=0 by requiring that the absolute value of the successive partial sums are monotonically decreasing in magnitude, where a(1)=1 and a(n+1)>a(n) for n>0. |
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+0
2
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| 1, 2, 3, 5, 21, 37, 46, 59, 65, 70, 74, 78, 82, 83, 85, 89, 93, 97, 106, 114, 115, 127, 141, 149, 158, 163, 177, 190, 194, 197, 201, 211, 221, 223, 226, 229, 235, 246, 253, 257, 259, 263, 274, 282, 287, 293, 295, 307, 321, 331, 341, 345, 355, 366, 371, 373, 377
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Since sum(n>0,mu(n)/n)=0, this sequence gives the subset of smallest integers that satisfy this sum.
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PROGRAM
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(PARI) S=0; a=0; w=2; for(n=1, 100, b=a+1; while(abs(S+moebius(b)/b)>=w, b++); S=S+moebius(b)/b; w=abs(S); a=b; print1(b, ", "))
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CROSSREFS
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Cf. A084839.
Sequence in context: A024766 A058959 A065398 this_sequence A051694 A113650 A060321
Adjacent sequences: A084835 A084836 A084837 this_sequence A084839 A084840 A084841
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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 06 2003
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