A080313 -id:A080313 - cp's OEIS frontend

A080315 a(n) = A080313(n)/2.

1, 28, 460, 496, 7372, 7408, 8128, 7948, 7984, 117964, 118000, 118720, 118540, 118576, 130060, 130096, 130240, 127180, 127216, 130816, 127936, 127756, 127792, 1887436, 1887472, 1888192, 1888012, 1888048, 1899532, 1899568, 1899712

Offset: 0

Antti Karttunen, Mar 02 2003

nonn

Cf. A080316, A080317.

A080312 Positions of A080313 in A014486.

Original entry on oeis.org

1, 8, 55, 64, 493, 502, 625, 603, 612, 5212, 5221, 5344, 5322, 5331, 6878, 6887, 6900, 6521, 6530, 6917, 6653, 6631, 6640, 60462, 60471, 60594, 60572, 60581, 62128, 62137, 62150, 61771, 61780, 62167, 61903, 61881, 61890, 81622, 81631, 81754

Offset: 0

Antti Karttunen, Mar 02 2003

nonn

a(n) = A080300(A080313(n)).

A080299 A014486-encoding of plane binary trees (Stanley's d) whose interior zigzag-tree (Stanley's c, i.e., tree obtained by discarding the outermost edges of the binary tree) is isomorphic to a valid plane binary tree (Stanley's d).

Original entry on oeis.org

2, 50, 818, 914, 13106, 13202, 14642, 14738, 15506, 209714, 209810, 211250, 211346, 212114, 234290, 234386, 235826, 235922, 236690, 248114, 248210, 248978, 255122, 3355442, 3355538, 3356978, 3357074, 3357842, 3380018, 3380114, 3381554

Offset: 0

Antti Karttunen, Mar 02 2003

nonn

These trees are obtained by replacing each non-root terminal node (a leaf) of the binary tree with a branch of two leaves, i.e., "." -> "\/".

A. Karttunen, Nine initial trees can be found here (The trees with the ordinal numbers 1., 6., 39., 53., 345., 359., 477., 491. and 567.)
R. P. Stanley, Exercises on Catalan and Related Numbers

a(n) = A014486(A080298(n)). Breadth-first-wise encoding: A080313.

a(n) = A080310(A014486(n)).

A080314 Breadth-first-wise A063171-like-encoding of A080299-trees.

Original entry on oeis.org

10, 111000, 1110011000, 1111100000, 11100110011000, 11100111100000, 11111110000000, 11111000011000, 11111001100000, 111001100110011000, 111001100111100000, 111001111110000000, 111001111000011000

Offset: 0

Antti Karttunen, Mar 02 2003

nonn

a(n) = A007088(A080313(n)).

cp's OEIS Frontend

A080315 a(n) = A080313(n)/2.

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A080312 Positions of A080313 in A014486.

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A080299 A014486-encoding of plane binary trees (Stanley's d) whose interior zigzag-tree (Stanley's c, i.e., tree obtained by discarding the outermost edges of the binary tree) is isomorphic to a valid plane binary tree (Stanley's d).

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A080314 Breadth-first-wise A063171-like-encoding of A080299-trees.

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