A108398 a(n) = n*(1 + n^n)/2.
0, 1, 5, 42, 514, 7815, 139971, 2882404, 67108868, 1743392205, 50000000005, 1569214188366, 53496602689542, 1968688192849651, 77784047778906119, 3284204177856445320, 147573952589676412936, 7031542226033862495513
Offset: 0
Keywords
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..100
Programs
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Haskell
a108398 n = n * (1 + n ^ n) `div` 2 -- Reinhard Zumkeller, Mar 31 2015
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Magma
[n*(1+n^n)/2: n in [0..25]]; // Vincenzo Librandi, Apr 29 2011
Formula
a(n) = A108396(n,n).
E.g.f.: (exp(x) * x - LambertW(-x)/(1 + LambertW(-x))^3) / 2. - Vaclav Kotesovec, Jan 03 2019