Antidiagonal sums of array in A093966.

Terms

a(0) =1a(1) =3a(2) =8a(3) =20a(4) =49a(5) =123a(6) =312a(7) =824a(8) =2221a(9) =6235a(10) =17904a(11) =53348a(12) =162545a(13) =511747a(14) =1645776a(15) =5448600a(16) =18404189a(17) =63794611a(18) =225353368a(19) =814801812a(20) =2999022641a(21) =11274044075a(22) =43100574472a(23) =167987074584a(24) =665229445293