%I A112293
%S A112293 1,2,7,36,253,2278,25059,325768,4886521,83070858,1578346303,33145272364,
%T A112293 762341264373,19058531609326,514580353451803,14922830250102288,
%U A112293 462607737753170929,15266055345854640658,534311937104912423031
%N A112293 Row sums of number triangle A112292.
%F A112293 a(n)=sum{k=0..n, (2n-1)!!/(2k-1)!!}; a(n)=sum{k=0..n, 2^(n-k)(n-1/2)!/
               (k-1/2)!}; a(n)=sum{k=0..n, n!C(2n, n)2^(k-n)/(k!C(2k, k))}; a(n)=sum{k=0..n, 
               (n+1)!*C(n)2^(k-n)/((k+1)!*C(k))}.
%t A112293 s=1;lst={s};Do[s+=(n*=s++)+n;AppendTo[lst, s], {n, 0, 5!, 1}];lst [From 
               Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 15 2008]
%Y A112293 Sequence in context: A125033 A034430 A143805 this_sequence A090352 A123549 
               A009704
%Y A112293 Adjacent sequences: A112290 A112291 A112292 this_sequence A112294 A112295 
               A112296
%K A112293 easy,nonn
%O A112293 0,2
%A A112293 Paul Barry (pbarry(AT)wit.ie), Sep 01 2005