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 A331075 #13 Apr 19 2024 03:27:40 %S A331075 0,1,2,3,6,7,10,12,16,21,22,28,32,37,36,49,48,58,56,74,68,85,72,104, %T A331075 88,113,98,138,110,146,122,170,146,179,142,220,166,213,186,254,190, %U A331075 266,204,300,236,293,224,368,252,334,290,402,278,413,294,450,354,429,320,547 %N A331075 a(n) = Sum_{k = 1..n} [u_3(k)*u_3(n+1-k)], where u_3 = A034836. %C A331075 For background references see A330570. %H A331075 Amiram Eldar, <a href="/A331075/b331075.txt">Table of n, a(n) for n = 0..10000</a> %t A331075 s[1] = 1; s[n_] := s[n] = Module[{e = FactorInteger[n][[;; , 2]]}, If[IntegerQ[Surd[n, 3]], 1/3, 0] + (Times @@ ((e + 1)*(e + 2)/2))/6 + (Times @@ (Floor[e/2] + 1))/2]; a[n_] := Sum[s[k] * s[n+1-k], {k, 1, n}]; Array[a, 100, 0] (* _Amiram Eldar_, Apr 19 2024 *) %Y A331075 Cf. A034836. %Y A331075 See A331076 for another version. %K A331075 nonn %O A331075 0,3 %A A331075 _N. J. A. Sloane_, Jan 10 2020 %E A331075 Offset corrected by _Amiram Eldar_, Apr 19 2024