Coefficients in expansion of permanent of infinite tridiagonal matrix shown below.

Terms

a(0) =2a(1) =1a(2) =2a(3) =2a(4) =3a(5) =3a(6) =5a(7) =5a(8) =7a(9) =8a(10) =10a(11) =11a(12) =15a(13) =16a(14) =20a(15) =23a(16) =28a(17) =31a(18) =38a(19) =42a(20) =51a(21) =57a(22) =67a(23) =75a(24) =89a(25) =99a(26) =115a(27) =129a(28) =149a(29) =166