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 A360996 #15 Apr 03 2025 01:34:50
%S A360996 1,5,5,10,5,25,5,15,10,25,5,50,5,25,25,20,5,50,5,50,25,25,5,75,10,25,
%T A360996 15,50,5,125,5,25,25,25,25,100,5,25,25,75,5,125,5,50,50,25,5,100,10,
%U A360996 50,25,50,5,75,25,75,25,25,5,250,5,25,50,30,25,125,5,50,25,125,5,150
%N A360996 Multiplicative with a(p^e) = 5*e, p prime and e > 0.
%H A360996 Amiram Eldar, <a href="/A360996/b360996.txt">Table of n, a(n) for n = 1..10000</a>
%F A360996 Dirichlet g.f.: Product_{primes p} (1 + 5*p^s/(p^s - 1)^2).
%F A360996 a(n) = A005361(n) * A082476(n).
%t A360996 g[p_, e_] := 5*e; a[1] = 1; a[n_] := Times @@ g @@@ FactorInteger[n]; Array[a, 100]
%o A360996 (PARI) for(n=1, 100, print1(direuler(p=2, n, (1+3*X+X^2)/(1-X)^2)[n], ", "))
%Y A360996 Cf. A005361 (multiplicative with a(p^e) = e), A000005 (e+1), A343443 (e+2), A360997 (e+3), A322327 (2*e), A048691 (2*e+1), A360908 (2*e-1), A226602 (3*e), A048785 (3*e+1), A360910 (3*e-1), A360909 (3*e+2), A360911 (3*e-2), A322328 (4*e).
%Y A360996 Cf. A082476.
%K A360996 nonn,mult,easy
%O A360996 1,2
%A A360996 _Vaclav Kotesovec_, Feb 28 2023