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Search: id:A077074
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| A077074 |
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Least k such that Z(k,3) <= Z(n,4) where Z(m,s) = sum( i>=m, 1/i^s). |
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+0
1
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| 2, 2, 3, 6, 9, 13, 17, 21, 26, 31, 37, 43, 49, 55, 62, 69, 76, 83, 91, 99, 107, 115, 123, 132, 141, 150, 159, 168, 178, 187, 197, 207, 218, 228, 239, 249, 260, 271, 282, 294, 305, 317, 328, 340, 352, 365
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Cf. A051890 for least k such that such that Z(k,2) <= Z(n,3)
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PROGRAM
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(PARI) u=3; v=4; a(n)=if(n<0, 0, k=1; while((zeta(u)-sum(k=1, k-1, 1/k^u))>(zeta(v)-sum(i=1, n-1, 1/i^v)), k++); k)
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CROSSREFS
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Sequence in context: A035571 A079069 A019465 this_sequence A054200 A137216 A070550
Adjacent sequences: A077071 A077072 A077073 this_sequence A077075 A077076 A077077
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 29 2002
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