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A077074 Least k such that Z(k,3) <= Z(n,4) where Z(m,s) = Sum_{i>=m} 1/i^s. 0
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; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..45.

PROG

(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)

CROSSREFS

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

Sequence in context: A035571 A079069 A019465 * A163493 A321405 A054200

Adjacent sequences:  A077071 A077072 A077073 * A077075 A077076 A077077

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Nov 29 2002

STATUS

approved

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Last modified June 22 15:24 EDT 2021. Contains 345386 sequences. (Running on oeis4.)