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%I #3 Jan 21 2026 10:22:31
%S 1,1,4,22,157,1368,13995,163779,2152349,31326760,499539900,8651755865,
%T 161591063250,3235298221401,69085973044125,1566556077233897,
%U 37577774143362824,950374452156347514,25266942445833523121,704302695217027889560,20534611808242819061155,624893326066824277558519
%N a(n) = Sum_{k=0..n} |Stirling1(n+k,2*k)|.
%t Table[Sum[Abs@StirlingS1[n+k, 2*k], {k, 0, n}], {n, 1, 25}]
%Y Cf. A229286, A392733.
%K nonn
%O 0,3
%A _Vaclav Kotesovec_, Jan 21 2026