Limit of columns of triangle A112682.

Terms

a(0) =1a(1) =1a(2) =3a(3) =6a(4) =15a(5) =31a(6) =73a(7) =157a(8) =358a(9) =785a(10) =1762a(11) =3896a(12) =8702a(13) =19299a(14) =42995a(15) =95507a(16) =212552a(17) =472445a(18) =1050973a(19) =2336670a(20) =5197036a(21) =11556157a(22) =25700188a(23) =57150018a(24) =127093805a(25) =282627186a(26) =628514815a(27) =1397684691a(28) =3108193486a(29) =6911996344