A304486 Number of inequivalent leaf-colorings of the unlabeled rooted tree with Matula-Goebel number n.

1, 1, 1, 2, 1, 2, 2, 3, 2, 2, 1, 4, 2, 4, 2, 5, 2, 4, 3, 4, 4, 2, 2, 7, 2, 5, 3, 9, 2, 5, 1, 7, 2, 4, 4, 9, 4, 7, 5, 7, 2, 11, 4, 4, 4, 4, 2, 12, 7, 4, 4, 11, 5, 7, 2, 16, 7, 5, 2, 11, 4, 2, 9, 11, 5, 5, 3, 9, 4, 11

Offset

1,4

Links

Table of n, a(n) for n=1..70.

Example

Inequivalent representatives of the a(52) = 11 colorings of the tree (oo(o(o))) are the following.
  (11(1(1)))
  (11(1(2)))
  (11(2(1)))
  (11(2(2)))
  (11(2(3)))
  (12(1(1)))
  (12(1(2)))
  (12(1(3)))
  (12(3(1)))
  (12(3(3)))
  (12(3(4)))

Crossrefs

Cf. A000081, A001678, A004111, A007097, A049076, A061773, A061775, A109082, A109129, A300626, A303024, A303431, A317713, A317994.

Sequence in context: A060501 A355661 A109129 * A188550 A064122 A323424

Adjacent sequences: A304483 A304484 A304485 * A304487 A304488 A304489

Keyword

nonn,more

Author

Gus Wiseman, Aug 17 2018

Status

approved