%I A112294
%S A112294 1,1,4,18,121,1055,11376,145852,2165689,36532197,689873284,14415662558,
%T A112294 330204013569,8226714806323,221470234531456,6406397898751320,
%U A112294 198160750081637521,6526636388676159977,228040136335670652324
%N A112294 Diagonal sums of number triangle A112292.
%F A112294 a(n)=sum{k=0..floor(n/2), (2n-2k-1)!!/(2k-1)!!}; a(n)=sum{k=0..floor(n/
               2), 2^(n-2k)(n-k-1/2)!/(k-1/2)!}; a(n)=sum{k=0..floor(n/2), (n-k)!C(2n-2k, 
               n-k)2^(2k-n)/(k!C(2k, k))}; a(n)=sum{k=0..floor(n/2), (n-k+1)!*C(n-k)2^(2k-n)/
               ((k+1)!*C(k))}.
%Y A112294 Sequence in context: A053529 A005442 A084661 this_sequence A073511 A108704 
               A001423
%Y A112294 Adjacent sequences: A112291 A112292 A112293 this_sequence A112295 A112296 
               A112297
%K A112294 easy,nonn
%O A112294 0,3
%A A112294 Paul Barry (pbarry(AT)wit.ie), Sep 01 2005