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 A345271 #12 Oct 08 2021 23:56:28 %S A345271 1,6,12,84,30,1374,56,4680,819,10210,132,3008748,182,38822,51090, %T A345271 1118480,306,34123698,380,64168820,195384,235246,552,110267095704, %U A345271 16275,458354,551880,482528508,870,656102432730,992,1108378656,1188132,1338682,1503110,101564312008644 %N A345271 a(n) = Sum_{d|n} n^tau(d). %C A345271 If p is prime, a(p) = Sum_{d|p} p^tau(d) = p^1 + p^2 = p*(p + 1). %H A345271 Seiichi Manyama, <a href="/A345271/b345271.txt">Table of n, a(n) for n = 1..10000</a> %e A345271 a(10) = Sum_{d|10} 10^tau(d) = 10^1 + 10^2 + 10^2 + 10^4 = 10210. %t A345271 Table[Sum[n^DivisorSigma[0, k] (1 - Ceiling[n/k] + Floor[n/k]), {k, n}], {n, 50}] %o A345271 (PARI) a(n) = sumdiv(n, d, n^numdiv(d)); \\ _Michel Marcus_, Oct 08 2021 %Y A345271 Cf. A000005 (tau), A174937, A345270, A345895. %K A345271 nonn %O A345271 1,2 %A A345271 _Wesley Ivan Hurt_, Jun 12 2021