A077074 Least k such that Z(k,3) <= Z(n,4) where Z(m,s) = Sum_{i>=m} 1/i^s.

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

Offset: 0

Author

Benoit Cloitre, Nov 29 2002

Keywords

• nonn

Crossrefs

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

Programs

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)