A079221 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 five-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).

1, 1, 1, 2, 0, 1, 3, 1, 0, 1, 5, 0, 0, 0, 1, 6, 2, 1, 0, 5, 1, 15, 0, 0, 0, 20, 0, 1, 36, 5, 0, 1, 65, 0, 0, 1, 108, 0, 2, 0, 190, 0, 0, 0, 1, 301, 11, 0, 0, 501, 0, 0, 0, 0, 1, 814, 0, 0, 0, 1265, 0, 0, 0, 0, 0, 1, 2080, 26, 3, 2, 3105, 1, 0, 0, 0, 5, 0, 1, 5223, 0, 0, 0, 7695, 0, 0, 0, 0, 0, 0, 0

Offset

0,4

Comments

Note: the counts given here are inclusive, i.e. T(n,d) includes also the count A079217(n,d).

Links

Table of n, a(n) for n=0..89.

Maple

[seq(A079221(n), n=0..119)]; A079221 := n -> PFixedByA057511(A003056(n)+1, 5, A002262(n)+1);

Crossrefs

The row sums equal to the left edge shifted left once = A079226 = fifth row of A079216 (the latter gives the Maple procedure PFixedByA057511). Cf. also A079217-A079222 and A003056 and A002262.

Sequence in context: A099557 A214576 A079217 * A168019 A026794 A137712

Adjacent sequences: A079218 A079219 A079220 * A079222 A079223 A079224

Keyword

nonn,tabl

Author

Antti Karttunen Jan 03 2002

Status

approved