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.

A344867 a(n) = n * Sum_{d|n} floor(sqrt(d)) / d.

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%I A344867 #3 May 31 2021 18:17:16
%S A344867 1,3,4,8,7,13,9,18,15,22,14,35,16,28,29,40,21,49,23,58,38,43,27,80,40,
%T A344867 50,50,75,34,97,36,85,58,64,64,131,43,71,67,132,47,126,49,114,108,83,
%U A344867 53,178,70,127,87,133,60,164,99,171,95,104,66,258,68,110,142,178,114,191,75
%N A344867 a(n) = n * Sum_{d|n} floor(sqrt(d)) / d.
%e A344867 a(6) = 6 * Sum_{d|6} floor(sqrt(d)) / d = 6 * (floor(sqrt(1))/1 + floor(sqrt(2))/2 + floor(sqrt(3))/3 + floor(sqrt(6))/6) = 6 * (1 + 1/2 + 1/3 + 2/6) = 13.
%t A344867 Table[n*Sum[Floor[Sqrt[k]] (1 - Ceiling[n/k] + Floor[n/k])/k, {k, n}], {n, 100}]
%Y A344867 Cf. A344460.
%K A344867 nonn
%O A344867 1,2
%A A344867 _Wesley Ivan Hurt_, May 31 2021