Expansion of g.f. A(x) satisfying A(x)^2 = A(x^2) * (1 - x*C(x)) * (1 - x*C(x^2)) / (1 - 4*x) where C(x) = 1 + x*C(x)^2 is the Catalan function (A000108).
A370540
Expansion of g.f. A(x) satisfying A(x)^2 = A(x^2) * (1 - x*C(x)) * (1 - x*C(x^2)) / (1 - 4*x) where C(x) = 1 + x*C(x)^2 is the Catalan function (A000108).
Terms
- a(0) =1a(1) =1a(2) =4a(3) =12a(4) =45a(5) =157a(6) =584a(7) =2155a(8) =8110a(9) =30587a(10) =116326a(11) =443984a(12) =1702272a(13) =6546563a(14) =25252094a(15) =97638658a(16) =378351696a(17) =1468876958a(18) =5712276601a(19) =22247635905a(20) =86765271643a(21) =338795469496
External references
- oeis: A370540