Consider all distinct functions f representable as x -> x^x^...^x with n x's and parentheses inserted in all possible ways; sequence gives difference between numbers of f with f(0)=1 and numbers of f with f(0)=0, with conventions that 0^0=1^0=1^1=1, 0^1=0.
A211192
Consider all distinct functions f representable as x -> x^x^...^x with n x's and parentheses inserted in all possible ways; sequence gives difference between numbers of f with f(0)=1 and numbers of f with f(0)=0, with conventions that 0^0=1^0=1^1=1, 0^1=0.
Terms
- a(0) =0a(1) =-1a(2) =1a(3) =0a(4) =2a(5) =1a(6) =8a(7) =10a(8) =39a(9) =72a(10) =225a(11) =506a(12) =1434a(13) =3550a(14) =9767a(15) =25391a(16) =69293a(17) =185061a(18) =505843a(19) =1372744a(20) =3769842a(21) =10339104a(22) =28546539a(23) =78890525a(24) =218945822a(25) =608657861a(26) =1697106780a(27) =4740593393a(28) =13272626627a(29) =37224982494
External references
- oeis: A211192