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.

A100879 a(n) = n^sigma(n).

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%I A100879 #18 May 24 2021 18:22:12
%S A100879 1,8,81,16384,15625,2176782336,5764801,35184372088832,2541865828329,
%T A100879 1000000000000000000,3138428376721,1648446623609512543951043690496,
%U A100879 3937376385699289,3214199700417740936751087616
%N A100879 a(n) = n^sigma(n).
%F A100879 a(n) = n^A000203(n). - _Michel Marcus_, Mar 17 2018
%F A100879 Sum_{n>=1} 1/a(n) = A192265. - _Amiram Eldar_, Nov 15 2020
%e A100879 a(1) = 1^1 = 1;
%e A100879 a(2) = 2^(1+2) = 8;
%e A100879 a(3) = 3^(1+3) = 81;
%e A100879 a(4) = 4^(1+2+4) = 16384.
%p A100879 with(numtheory): seq(n^add(d,d=divisors(n)),n=1..17); # C. Ronaldo, Jan 19 2005
%t A100879 Table[n^DivisorSigma[1,n],{n,20}] (* _Harvey P. Dale_, Oct 05 2011 *)
%o A100879 (PARI) a(n)=n^sigma(n) \\ _Charles R Greathouse IV_, Aug 25 2014
%Y A100879 Cf. A000203, A192265.
%K A100879 easy,nonn
%O A100879 1,2
%A A100879 _Odimar Fabeny_, Jan 09 2005
%E A100879 More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 19 2005