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%I #12 May 10 2021 14:44:03
%S 1,1,3,16,115,1021,10696,128472,1734447,25937683,424852351,7554471156,
%T 144767131444,2971727661124,65013102375404,1509186299410896,
%U 37032678328740751,957376811266995031,25999194631060525009,739741591417352081464,22000132609456951524051
%N a(n) = Sum_{k=0..n} binomial(n, k)*|S1(n, k)|.
%C Binomial convolution of the unsigned Stirling numbers of the first kind.
%C Row sums of triangle A187555.
%t Table[Sum[Binomial[n, k] Abs[StirlingS1[n, k]], {k, 0, n}], {n, 0, 20}]
%o (PARI) a(n) = sum(k=0, n, binomial(n, k)*abs(stirling(n, k, 1))); \\ _Michel Marcus_, May 10 2021
%Y Cf. A317274 (signed S1), A187555, A134090, A211211.
%Y Cf. A122455 (second kind), A271702, A134094, A343841 (second kind inverse).
%K nonn
%O 0,3
%A _Olivier Gérard_, Oct 23 2012
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