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.

A344460 a(n) = Sum_{d|n} d * floor(sqrt(d)).

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%I A344460 #6 Mar 31 2025 14:02:18
%S A344460 1,3,4,11,11,18,15,27,31,43,34,62,40,59,59,91,69,117,77,131,102,124,
%T A344460 93,174,136,172,166,207,146,253,156,251,202,241,200,377,223,307,277,
%U A344460 387,247,410,259,396,356,371,283,526,358,518,429,544,372,630,429,615,479,554,414,797
%N A344460 a(n) = Sum_{d|n} d * floor(sqrt(d)).
%C A344460 Inverse Möbius transform of n * floor(sqrt(n)). - _Wesley Ivan Hurt_, Mar 31 2025
%e A344460 a(10) = Sum_{d|10} d * floor(sqrt(d)) = 1*1 + 2*1 + 5*2 + 10*3 = 43.
%t A344460 Table[Sum[k*Floor[Sqrt[k]] (1 - Ceiling[n/k] + Floor[n/k]), {k, n}], {n, 80}]
%Y A344460 Cf. A000196, A086671.
%K A344460 nonn
%O A344460 1,2
%A A344460 _Wesley Ivan Hurt_, May 19 2021