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 A345274 #3 Jun 12 2021 20:33:06 %S A345274 0,1,4,31,16,650,36,2633,548,6650,100,1782390,144,28754,38660,799583, %T A345274 256,24192515,324,47154588,160520,195002,484,78424725898,14224,391370, %U A345274 471124,387887498,784,500247950884,900,912432417,1049960,1187234,1338020,78818475807611,1296,1875818 %N A345274 a(n) = Sum_{d|n} (n-d)^tau(n/d). %C A345274 If p is prime, a(p) = Sum_{d|p} (p-d)^tau(p/d) = (p-1)^2 + 0^1 = (p-1)^2. %e A345274 a(10) = Sum_{d|10} (10-d)^tau(10/d) = 9^4 + 8^2 + 5^2 + 0^1 = 6650. %t A345274 Table[Sum[(n - k)^DivisorSigma[0, n/k] (1 - Ceiling[n/k] + Floor[n/k]), {k, n}], {n, 50}] %Y A345274 Cf. A000005 (tau), A174937. %K A345274 nonn %O A345274 1,3 %A A345274 _Wesley Ivan Hurt_, Jun 12 2021