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 A115071 #9 Sep 10 2024 20:48:47
%S A115071 1,9,94,3625,18631,1120581,34793764,5692787001,29669041771,
%T A115071 30708223774261,134127439064434,302304605103335861,
%U A115071 2387352152511746837,109134149200789179825,24217460586461892638584
%N A115071 Numerator of 1^n/n + 2^n/(n-1) + 3^n/(n-2) +...+ (n-1)^n/2 + n^n/1.
%C A115071 a(p-1) is divisible by p^3 for prime p>3. a(p^2-1) is divisible by p^6 for prime p>3. a(p^3-1) is divisible by p^9 for prime p>3.
%F A115071 a(n) = numerator(Sum_{i=1..n} i^n/(n+1-i)).
%e A115071 a(1) = numerator(1/1) = 1.
%e A115071 a(2) = numerator(1/2 + 4/1) = 9.
%e A115071 a(3) = numerator(1/3 + 8/2 + 27/1) = 94.
%e A115071 a(4) = numerator(1/4 + 16/3 + 81/2 + 256/1) = 3625.
%t A115071 Table[Numerator[Sum[i^n/(n+1-i),{i,1,n}]],{n,1,20}]
%Y A115071 Cf. A001008, A027612, A120487 (denominator).
%K A115071 frac,nonn,easy
%O A115071 1,2
%A A115071 _Alexander Adamchuk_, Jun 17 2006