%I
%S 1,0,1,4,0,1,0,12,0,1,16,0,24,0,1,0,80,0,40,0,1,64,0,240,0,60,0,
%T 1,0,448,0,560,0,84,0,1,256,0,1792,0,1120,0,112,0,1,0,2304,0,
%U 5376,0,2016,0,144,0,1,1024,0,11520,0,13440,0,3360,0,180,0,1
%N Triangle related to exp(x)cos(2x).
%C Row sums are A006495 (with e.g.f. exp(x)cos(2x)). Inverse is A117436. Diagonal sums are (1,0,3,0,5,0,7,...). Diagonals correspond to rows of A117438.
%F Number triangle whose kth column has e.g.f. (x^k/k!)*cos(2x); T(n,k)=C(n,k)*(4)^((nk)/2)*(1+(1)^(nk))/2.
%e Triangle begins
%e 1,
%e 0, 1,
%e 4, 0, 1,
%e 0, 12, 0, 1,
%e 16, 0, 24, 0, 1,
%e 0, 80, 0, 40, 0, 1,
%e 64, 0, 240, 0, 60, 0, 1
%Y Cf. A117411.
%K easy,sign,tabl
%O 0,4
%A _Paul Barry_, Mar 16 2006
