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.

A108398 a(n) = n*(1 + n^n)/2.

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%I A108398 #17 Sep 08 2022 08:45:19
%S A108398 0,1,5,42,514,7815,139971,2882404,67108868,1743392205,50000000005,
%T A108398 1569214188366,53496602689542,1968688192849651,77784047778906119,
%U A108398 3284204177856445320,147573952589676412936,7031542226033862495513
%N A108398 a(n) = n*(1 + n^n)/2.
%H A108398 Vincenzo Librandi, <a href="/A108398/b108398.txt">Table of n, a(n) for n = 0..100</a>
%F A108398 a(n) = A108396(n,n).
%F A108398 E.g.f.: (exp(x) * x - LambertW(-x)/(1 + LambertW(-x))^3) / 2. - _Vaclav Kotesovec_, Jan 03 2019
%o A108398 (Magma) [n*(1+n^n)/2: n in [0..25]]; // _Vincenzo Librandi_, Apr 29 2011
%o A108398 (Haskell)
%o A108398 a108398 n = n * (1 + n ^ n) `div` 2  -- _Reinhard Zumkeller_, Mar 31 2015
%Y A108398 Cf. A000312, A000217.
%Y A108398 Cf. A108396, A256512.
%K A108398 nonn
%O A108398 0,3
%A A108398 _Reinhard Zumkeller_, Jun 02 2005