login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A077075 Least k such that Z(k,4) <= Z(n,5) where Z(m,s) = Sum_{i>=m} 1/i^s. 0

%I #11 Oct 10 2019 04:02:34

%S 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,

%T 79,84,88,92,97,101,106,111,115,120,125,129,134,139,144,149,154,159,

%U 164,169,175,180,185,190,196,201,206,212,217,223,228,234,240,245,251

%N Least k such that Z(k,4) <= Z(n,5) where Z(m,s) = Sum_{i>=m} 1/i^s.

%o (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)

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

%K nonn

%O 0,1

%A _Benoit Cloitre_, Nov 29 2002

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 23:15 EDT 2024. Contains 371798 sequences. (Running on oeis4.)