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Search: id:A077075
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| A077075 |
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Least k such that Z(k,4) <= Z(n,5) where Z(m,s) = sum( i>=m, 1/i^s). |
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+0
1
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| 2, 2, 3, 5, 7, 9, 12, 14, 17, 20, 23, 26, 30, 33, 36, 40, 44, 47, 51, 55, 59, 63, 67, 71, 75, 79, 84, 88, 92, 97, 101, 106, 111, 115, 120, 125, 129, 134, 139, 144, 149, 154, 159, 164, 169, 175, 180, 185, 190, 196, 201, 206, 212, 217, 223, 228, 234, 240, 245, 251
(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=4; v=5; 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: A126881 A125505 A061565 this_sequence A058278 A097333 A001083
Adjacent sequences: A077072 A077073 A077074 this_sequence A077076 A077077 A077078
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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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