Search: id:A110609
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%I A110609
%S A110609 0,1,8,45,224,1050,4752,21021,91520,393822,1679600,7113106,29953728,
%T A110609 125550100,524190240,2181340125,9051563520,37467344310,154754938800,
%U A110609 637982011590,2625648168000,10789623755820,44277560801760
%N A110609 n*Binomial(2n,n-1).
%C A110609 Second column of number triangle A110608.
%F A110609 a(n)=n^2*binomial(2n, n)/(n+1)=n^2*A000108(n)=A002736(n)/(n+1).
%p A110609 with(combinat):with(combstruct):a[0]:=0:for n from 1 to 30 do a[n]:=sum((count(Composition(n*2+1),
               size=n)),j=1..n) od: seq(a[n], n=0..22); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               May 09 2007
%p A110609 a:=n->sum(sum(binomial(2*n,n)/(n+1), j=1..n),k=1..n): seq(a(n), n=0..22); 
               - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 09 2007
%t A110609 Table[CatalanNumber[n]*n^2, {n, 0, 22}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jul 08 2009]
%Y A110609 Sequence in context: A002696 A016208 A026852 this_sequence A032208 A163003 
               A055422
%Y A110609 Adjacent sequences: A110606 A110607 A110608 this_sequence A110610 A110611 
               A110612
%K A110609 easy,nonn
%O A110609 0,3
%A A110609 Paul Barry (pbarry(AT)wit.ie), Jul 30 2005

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