cp's OEIS Frontend

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.

A224440 a(n) = sigma(n)^(n-1).

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%I A224440 #10 Nov 12 2017 02:52:23
%S A224440 1,3,16,343,1296,248832,262144,170859375,815730721,198359290368,
%T A224440 61917364224,8293509467471872,56693912375296,876488338465357824,
%U A224440 21035720123168587776,23465261991844685929951,121439531096594251776,1117116121846700839825703079,262144000000000000000000
%N A224440 a(n) = sigma(n)^(n-1).
%C A224440 Here sigma(n) = A000203(n) is the sum of the divisors of n.
%H A224440 Seiichi Manyama, <a href="/A224440/b224440.txt">Table of n, a(n) for n = 1..335</a>
%F A224440 Logarithmic derivative of A224439.
%e A224440 L.g.f.: L(x) = x + 3^1*x^2/2 + 4^2*x^3/3 + 7^3*x^4/4 + 6^4*x^5/5 + 12^5*x^6/6 +...
%e A224440 where exponentiation yields the g.f. of A224439:
%e A224440 exp(L(x)) = 1 + x + 2*x^2 + 7*x^3 + 93*x^4 + 357*x^5 + 41927*x^6 +...
%o A224440 (PARI) {a(n)=sigma(n)^(n-1)}
%o A224440 for(n=1, 20, print1(a(n), ", "))
%Y A224440 Cf. A224439, A217872.
%K A224440 nonn
%O A224440 1,2
%A A224440 _Paul D. Hanna_, Apr 06 2013
%E A224440 Offset corrected by _Seiichi Manyama_, Nov 10 2017