Search: id:A024427
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%I A024427
%S A024427 1,1,2,4,9,22,58,164,495,1587,5379,19195,71872,281571,1151338,4902687,
%T A024427 21696505,99598840,473466698,2327173489,11810472444,61808852380,
%U A024427 333170844940,1847741027555
%N A024427 S(n,1) + S(n-1,2) + +S(n-2,3) + ... + S(n+1-k,k), where k=[ (n+1)/2 ] 
               and S(i,j) are Stirling numbers of second kind.
%F A024427 G.f.: sum{k>=0, x^(2k)/prod[l=1..k, 1-lx]}. - R. Stephan, Apr 18 2004
%F A024427 a(n)=sum(stirling2(n-1-i,i), i=0..n-2), n>=3 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jan 31 2008
%p A024427 with(combinat):seq(sum(stirling2(n-1-i,i), i=0..n-2), n=3..26); - Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Jan 31 2008
%Y A024427 Sequence in context: A124380 A059019 A121953 this_sequence A092920 A035053 
               A000571
%Y A024427 Adjacent sequences: A024424 A024425 A024426 this_sequence A024428 A024429 
               A024430
%K A024427 nonn
%O A024427 1,3
%A A024427 Clark Kimberling (ck6(AT)evansville.edu)

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