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A300952 Number of Dyck paths of semilength n having equal areas above the path and below the path, measured within the smallest enclosing rectangle based on the x-axis. 2
1, 1, 2, 2, 7, 7, 35, 43, 238, 341, 1981, 3030, 18649, 29597, 190809, 311294, 2072334, 3462486, 23551368, 40166551, 277378932, 481159175, 3362641488, 5912848608, 41749776145, 74210799645, 528856595713, 948300730648, 6814672450367, 12308638880274, 89116042070616 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..51

Wikipedia, Counting lattice paths

EXAMPLE

                                                                  .__________.

                        a(5) = 7:                                 |    /\    |

           .______________________________________________________|   /  \   |

           |  /\/\    |  /\      |    /\    |      /\  |    /\/\  |  /    \  |

.__________| /    \   | /  \/\/\ | /\/  \/\ | /\/\/  \ |   /    \ | /      \ |

|/\/\/\/\/\|/______\/\|/________\|/________\|/________\|/\/______\|/________\| .

CROSSREFS

Column k=0 of A300953.

Cf. A000108, A300323.

Sequence in context: A271229 A199886 A117779 * A195326 A263868 A263793

Adjacent sequences:  A300949 A300950 A300951 * A300953 A300954 A300955

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 16 2018

STATUS

approved

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Last modified October 22 10:24 EDT 2019. Contains 328317 sequences. (Running on oeis4.)