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.

A133298 a(n) = 1 + Sum_{i=1..n} Sum_{j=1..n} Sum_{k=1..n} i^(j+k).

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%I A133298 #6 Sep 08 2022 08:45:31
%S A133298 2,41,1727,130917,17245160,3546873073,1046002784253,417182980579609,
%T A133298 215861313302976046,140463714074395109081,112191246261394235358555,
%U A133298 107867952671976721983260413,122856922623618324408724634164
%N A133298 a(n) = 1 + Sum_{i=1..n} Sum_{j=1..n} Sum_{k=1..n} i^(j+k).
%C A133298 p divides a(p) for prime p>3. p^2 divides a(p) for prime p=7. Nonprime n dividing a(n) are {1,15}.
%H A133298 G. C. Greubel, <a href="/A133298/b133298.txt">Table of n, a(n) for n = 1..210</a>
%F A133298 a(n) = 1 + Sum_{i=1..n} Sum_{j=1..n} Sum_{k=1..n} i^(j+k).
%F A133298 a(n) = 1 + n^2 + Sum_{j=2..n} (j*(j^n - 1)/(j-1))^2.
%t A133298 Table[Sum[(i(i^n-1)/(i-1))^2, {i,2,n}] +n^2 +1,{n,20}]
%o A133298 (PARI) vector(20, n, 1+n^2 + sum(j=2,n, (j*(j^n-1)/(j-1))^2)) \\ _G. C. Greubel_, Aug 02 2019
%o A133298 (Magma) [2] cat [1+n^2 + (&+[(j*(j^n-1)/(j-1))^2: j in [2..n]]): n in [1..20]]; // _G. C. Greubel_, Aug 02 2019
%o A133298 (Sage) [1+n^2 + sum((j*(j^n-1)/(j-1))^2 for j in (2..n)) for n in (1..20)] # _G. C. Greubel_, Aug 02 2019
%o A133298 (GAP) List([1..20], n-> 1 + n^2 + Sum([2..n], j-> (j*(j^n-1)/(j-1))^2) ); # _G. C. Greubel_, Aug 02 2019
%Y A133298 Cf. A124405.
%Y A133298 Cf. A062970, A086787.
%K A133298 nonn
%O A133298 1,1
%A A133298 _Alexander Adamchuk_, Oct 17 2007