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.

A222761 Conjectured lower bounds for the Riemann hypothesis function floor(H(k) + exp(H(k))*log(H(k))) - sigma(k).

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%I A222761 #15 Nov 02 2024 04:08:03
%S A222761 0,1,2,6,23,33,34,78,105,207,492,1536,1667,3036,5155,5206,7682,8748,
%T A222761 9051,15895,21295,22160,36300,58331,58657,71186,81276,91902,126789,
%U A222761 142721,143828,240466,291217,306310,471093,743434,872803,963860,1652806,1742555
%N A222761 Conjectured lower bounds for the Riemann hypothesis function floor(H(k) + exp(H(k))*log(H(k))) - sigma(k).
%C A222761 Here H(k) is the k-th harmonic number, Sum_{i=1..k} 1/i, and sigma(k) is the sum of the divisors of k. This sequence gives the conjectured values of A057641 that form a lower bound. For instance,
%C A222761 all numbers x <= 0 appear for n <= 12 = A176679(3);
%C A222761 all numbers x <= 1 appear for n <= 24 = A176679(4);
%C A222761 all numbers x <= 2 appear for n <= 60 = A176679(5);
%C A222761 all numbers x <= 6 appear for n <= 120 = A176679(6);
%C A222761 all numbers x <= 23 appear for n <= 180 = A176679(7).
%C A222761 The pattern continues.
%Y A222761 Cf. A057641, A176679.
%K A222761 nonn
%O A222761 1,3
%A A222761 _T. D. Noe_, Mar 28 2013