A122849 Diagonal sums of Bessel related triangle A122848.
1, 0, 1, 1, 1, 3, 4, 6, 16, 25, 46, 120, 211, 441, 1156, 2233, 5104, 13581, 28351, 69345, 188101, 419320, 1082566, 2998776, 7074211, 19099158, 54057004, 133993951, 375814531
Offset: 0
Formula
a(n)=sum{k=0..floor(n/2), k!*C(n-k,k)/((3k-n)!*2^(n-2k))}