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.
%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