Triangle T(n,d) (listed row-wise: T(1,1)=1, T(2,1)=1, T(2,2)=1, T(3,1)=2, T(3,2)=0, T(3,3)=1, ...) giving the number of n-edge general plane trees with root degree d that are fixed by the three-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).

A079219

Triangle T(n,d) (listed row-wise: T(1,1)=1, T(2,1)=1, T(2,2)=1, T(3,1)=2, T(3,2)=0, T(3,3)=1, ...) giving the number of n-edge general plane trees with root degree d that are fixed by the three-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =0a(5) =1a(6) =3a(7) =1a(8) =3a(9) =1a(10) =8a(11) =0a(12) =9a(13) =0a(14) =1a(15) =18a(16) =2a(17) =22a(18) =0a(19) =0a(20) =1a(21) =43a(22) =0a(23) =60a(24) =0a(25) =0a(26) =0a(27) =1a(28) =104a(29) =5

External references