A077114 Least k such that Z(k,5) <= Z(n,6) where Z(m,s) = Sum_{i>=m} 1/i^s.

2, 2, 3, 4, 6, 8, 10, 12, 14, 16, 19, 21, 23, 26, 28, 31, 34, 36, 39, 42, 44, 47, 50, 53, 56, 59, 62, 65, 68, 71, 74, 77, 80, 83, 86, 89, 93, 96, 99, 102, 106, 109, 112, 116, 119, 123, 126, 129, 133, 136, 140, 143, 147, 150, 154, 158, 161, 165, 168, 172, 176, 179, 183

Offset

0,1

Links

Table of n, a(n) for n=0..62.

Prog

(PARI) u=5; v=6; 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)

Crossrefs

Cf. A051890 for least k such that Z(k,2) <= Z(n,3).

Sequence in context: A005860 A266900 A114541 * A118246 A116902 A066447

Adjacent sequences: A077111 A077112 A077113 * A077115 A077116 A077117

Keyword

nonn

Author

Benoit Cloitre, Nov 29 2002

Status

approved