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 A288419 #18 Nov 14 2022 01:37:32
%S A288419 1,9,31,73,131,279,351,585,850,1179,1343,2263,2211,3159,4061,4681,
%T A288419 4931,7650,6879,9563,10881,12087,12191,18135,16406,19899,22990,25623,
%U A288419 24419,36549,29823,37449,41633,44379,45981,62050,50691,61911,68541,76635,68963,97929
%N A288419 a(n) = Sum_{d|n} d^3*A000593(n/d).
%C A288419 Multiplicative because this sequence is the Dirichlet convolution of A000578 and A000593 which are both multiplicative. - _Andrew Howroyd_, Jul 27 2018
%H A288419 Seiichi Manyama, <a href="/A288419/b288419.txt">Table of n, a(n) for n = 1..10000</a>
%F A288419 From _Amiram Eldar_, Nov 13 2022: (Start)
%F A288419 a(n) = A027847(n) for odd n.
%F A288419 Multiplicative with a(2^e) = (8^(e+1)-1)/7 and a(p^e) = (p^(3*e+5) - (p^2+p+1)*p^(e+1) + p + 1)/((p^3-1)*(p^2-1)) for p > 2.
%F A288419 Sum_{k=1..n} a(k) ~ c * n^4, where c = 7*Pi^4*zeta(3)/2880 = (7/32)*zeta(3)*zeta(4) = (7/32) * A183700 = 0.284596... . (End)
%t A288419 f[p_, e_] := (p^(3*e+5) - (p^2+p+1)*p^(e+1) + p + 1)/((p^3-1)*(p^2-1)); f[2, e_] := (8^(e+1)-1)/7; a[1] = 1; a[n_] := Times @@ f @@@ FactorInteger[n]; Array[a, 50] (* _Amiram Eldar_, Nov 13 2022 *)
%o A288419 (PARI) a(n)={sumdiv(n, d, (n/d)^3*sigma(d>>valuation(d,2)))} \\ _Andrew Howroyd_, Jul 27 2018
%Y A288419 Cf. A000578, A027847, A183700, A288414.
%Y A288419 Sum_{d|n} d^k*A000593(n/d): A288417 (k=0), A109386 (k=1), A288418 (k=2), this sequence (k=3), A288420 (k=4).
%K A288419 nonn,mult
%O A288419 1,2
%A A288419 _Seiichi Manyama_, Jun 09 2017