Antidiagonal sums of A375577.

Terms

a(0) =2a(1) =3a(2) =6a(3) =12a(4) =24a(5) =49a(6) =108a(7) =274a(8) =826a(9) =2911a(10) =11554a(11) =50096a(12) =233068a(13) =1152293a(14) =6019256a(15) =33087782a(16) =190780910a(17) =1150654755a(18) =7241711918a(19) =47454746964a(20) =323154697536