cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A077074 #11 Oct 10 2019 04:02:37
%S A077074 2,2,3,6,9,13,17,21,26,31,37,43,49,55,62,69,76,83,91,99,107,115,123,
%T A077074 132,141,150,159,168,178,187,197,207,218,228,239,249,260,271,282,294,
%U A077074 305,317,328,340,352,365
%N A077074 Least k such that Z(k,3) <= Z(n,4) where Z(m,s) = Sum_{i>=m} 1/i^s.
%o A077074 (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)
%Y A077074 Cf. A051890 for least k such that Z(k,2) <= Z(n,3).
%K A077074 nonn
%O A077074 0,1
%A A077074 _Benoit Cloitre_, Nov 29 2002