A373855
a(n) = Sum_{k=1..n} k! * k^(n-1) * |Stirling1(n,k)|.
Original entry on oeis.org
0, 1, 5, 80, 2690, 155074, 13658386, 1706098008, 286888266696, 62485391828448, 17112247116585744, 5755236604915060944, 2331975856351260982848, 1120439648590390138640304, 629855675998212293917375344, 409557081242059531918330384896
Offset: 0
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nmax=15; Range[0,nmax]!CoefficientList[Series[Sum[(-Log[1 - k*x])^k / k,{k,nmax}],{x,0,nmax}],x] (* Stefano Spezia, Jun 19 2024 *)
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a(n) = sum(k=1, n, k!*k^(n-1)*abs(stirling(n, k, 1)));
A373869
a(n) = Sum_{k=1..n} k! * k^(n-3) * Stirling1(n,k).
Original entry on oeis.org
0, 1, 0, 2, 26, 674, 28894, 1848216, 165229560, 19698788448, 3022496261616, 580460752264656, 136441193196585408, 38540172064949405616, 12883204327833557091984, 5030833813902039858261504, 2269484487197629285690675584, 1171368942033975021150888242304
Offset: 0
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a(n) = sum(k=1, n, k!*k^(n-3)*stirling(n, k, 1));
A373874
a(n) = Sum_{k=1..n} k! * k^(n-2) * Stirling1(n,k).
Original entry on oeis.org
0, 1, 1, 8, 142, 4534, 229658, 16951416, 1718394312, 229119947280, 38881745126112, 8183542269446928, 2092128552508587360, 638590833851037194256, 229398149222697428624688, 95801846241560025353728512, 46025711723325944648182502016
Offset: 0
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a(n) = sum(k=1, n, k!*k^(n-2)*stirling(n, k, 1));
Showing 1-3 of 3 results.