a(n) = C(n)*b(n), where C(n) is the n-th Catalan number and b(n) is the probability p_n(x<y) closest to 1/2 with x,y taken from the Catalan poset P_n.
A335213
a(n) = C(n)*b(n), where C(n) is the n-th Catalan number and b(n) is the probability p_n(x<y) closest to 1/2 with x,y taken from the Catalan poset P_n.
Terms
- a(0) =1a(1) =2a(2) =5a(3) =25a(4) =70a(5) =210a(6) =660a(7) =2145a(8) =7150a(9) =32274a(10) =105633a(11) =368940a(12) =1278264a(13) =5001332a(14) =17889032a(15) =64483720a(16) =234013500a(17) =854286930a(18) =3265915016a(19) =12018041880a(20) =45831524310a(21) =168538227000a(22) =622526987940
External references
- oeis: A335213