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 A354980 a(n) = Sum_{k=0..n} |Stirling1(k + n, n)|, row sums of A354979. 1

%I #11 Jun 15 2022 11:52:39

%S 1,2,15,267,7600,293925,14309743,838738740,57454922915,4502651972249,

%T 397234757906030,38956074787666025,4203685743662913937,

%U 494961608467205567662,63146302129222660054495,8676907380290993545719955,1277582548576381271300740092,200667260023390039020841648045

%N a(n) = Sum_{k=0..n} |Stirling1(k + n, n)|, row sums of A354979.

%F a(n) ~ 2^(3*n-1) * c^(2*n) * n^(n - 1/2) / (sqrt(Pi*(c-1)) * (2*c-1)^n * exp(n)), where c = -LambertW(-1,-exp(-1/2)/2) = 1.7564312086261696769827376166... - _Vaclav Kotesovec_, Jun 15 2022

%t Table[Sum[Abs@StirlingS1[k + n, n], {k, 0, n}], {n, 0, 20}] (* _Vaclav Kotesovec_, Jun 15 2022 *)

%Y Cf. A354979, A132393.

%K nonn

%O 0,2

%A _Peter Luschny_, Jun 15 2022

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Last modified September 15 02:48 EDT 2024. Contains 375931 sequences. (Running on oeis4.)