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 A119783 #4 Dec 29 2023 11:52:40 %S A119783 1,17,94,965,841,6167,18044,225489,75220,4280111,899494,86645897, %T A119783 26288822,41914055,296912584,5893703327,1703822073,49486578079, %U A119783 14076109870,12725008135,1190932611,122366761563,203957791852 %N A119783 Numerator of Sum_{i=1..n} i^3/(n-i+1). %C A119783 Prime p divides a(2p-1), p>3. Prime p divides a(3p-1), p>2. Prime p divides a(p-1), p>3. p^2 divides a(p^2-1) for prime p>3. p^3 divides a(p^3-1) for prime p>3. p^4 divides a(p^4-1) for prime p>3. p^5 divides a(p^5-1) for p>3. %F A119783 a(n) = numerator( Sum_{i=1..n} i^3/(n-i+1) ). %t A119783 Numerator[Table[Sum[i^3/(n-i+1),{i,1,n}],{n,1,50}]] %Y A119783 Cf. A007406, A001008, A027612. %K A119783 frac,nonn %O A119783 1,2 %A A119783 _Alexander Adamchuk_, Jun 25 2006