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The middle Stirling numbers of first kind: a(n) = Stirling1(n, floor(n/2)).
1

%I #12 Jan 06 2020 05:04:16

%S 1,0,-1,2,11,-50,-225,1624,6769,-67284,-269325,3416930,13339535,

%T -206070150,-790943153,14409322928,54631129553,-1146901283528,

%U -4308105301929,102417740732658,381922055502195,-10142299865511450

%N The middle Stirling numbers of first kind: a(n) = Stirling1(n, floor(n/2)).

%C The signless central Stirling numbers of the first kind Stirling1(2*n, n) are A187646.

%H G. C. Greubel, <a href="/A154415/b154415.txt">Table of n, a(n) for n = 0..300</a>

%t Table[StirlingS1[n, Floor[n/2]], {n, 0, 30}]

%o (PARI) a(n) = stirling(n, n\2, 1); \\ _Michel Marcus_, Sep 16 2016

%Y Cf. A048994, A187646.

%K sign

%O 0,4

%A _Roger L. Bagula_, Jan 09 2009

%E Name clarified by _Peter Luschny_, Jan 06 2020