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 A361467 #13 May 18 2023 10:40:31 %S A361467 1,12,30,117,56,360,132,1080,775,672,182,3510,306,1584,1680,9801,380, %T A361467 9300,552,6552,3960,2184,870,32400,2793,3672,19500,15444,992,20160, %U A361467 1406,88452,5460,4560,7392,90675,1722,6624,9180,60480,1892,47520,2256,21294,43400,10440,2862,294030,16093,33516,11400 %N A361467 a(n) = A003961(n) * sigma(A003961(n)), where A003961 is fully multiplicative with a(p) = nextprime(p), and sigma is the sum of divisors function. %H A361467 Winston de Greef, <a href="/A361467/b361467.txt">Table of n, a(n) for n = 1..10000</a> %H A361467 <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>. %H A361467 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>. %F A361467 Multiplicative with a(p^e) = q^e * (q^(e+1) - 1) / (q - 1), where q = nextPrime(p). %F A361467 a(n) = A003961(n) * A003973(n). %F A361467 a(n) = A064987(A003961(n)). %t A361467 f[p_, e_] := (q = NextPrime[p])^e * (q^(e+1) - 1) / (q - 1); a[1] = 1; a[n_] := Times @@ f @@@ FactorInteger[n]; Array[a, 100] (* _Amiram Eldar_, May 18 2023 *) %o A361467 (PARI) %o A361467 A003961(n) = { my(f=factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); }; \\ From A003961 %o A361467 A361467(n) = { my(u=A003961(n)); (u*sigma(u)); }; %Y A361467 Cf. A000203, A003961, A003973, A064987, A361468. %K A361467 nonn,mult %O A361467 1,2 %A A361467 _Antti Karttunen_, Mar 20 2023