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A173489 Partial sums of A000140. 0

%I #13 Aug 28 2020 06:16:49

%S 1,2,4,10,32,133,706,4542,33770,284519,2694100,28292286,324935676,

%T 4052477864,54679031852,793359552994,12294933375782,202713354823112,

%U 3547535843321377,65667058958304601,1280634899889213903

%N Partial sums of A000140.

%F a(n) = Sum_{i=1..n} A000140(i).

%F a(n) ~ 6 * n^(n-1) / exp(n). - _Vaclav Kotesovec_, Oct 27 2016

%t f[n_] := Max@ CoefficientList[ Expand@ Product[ Sum[x^i, {i, 0, j}], {j, n - 1}], x]; Accumulate@ Array[f, 21]

%Y Cf. A000140.

%K easy,nonn

%O 1,2

%A _Jonathan Vos Post_, Feb 19 2010

%E a(15) corrected by _Georg Fischer_, Aug 28 2020

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Last modified April 17 22:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)