A368567 Number of Young tableaux of shape [n, floor(n/2)].

1, 1, 2, 3, 9, 14, 48, 75, 275, 429, 1638, 2548, 9996, 15504, 62016, 95931, 389367, 600875, 2466750, 3798795, 15737865, 24192090, 100975680, 154969620, 650872404, 997490844, 4211628008, 6446369400, 27341497800, 41802112192, 177996090624, 271861216539, 1161588834303, 1772528290407, 7596549816030, 11582393855305

Offset

0,3

Links

Table of n, a(n) for n=0..35.

Joerg Arndt, The a(6)=48 Young tableaux of shape [6,3] and a(7)=75 Young tableaux of shape [7,3].

Formula

a(2*n) = A174687(n/2), a(2*n+1) = A026004(n).

Crossrefs

Cf. A174687 (shape [2*n, n]), A026004 (shape [2*n+1, n]).

Sequence in context: A237254 A026307 A139816 * A083303 A245594 A078610

Adjacent sequences: A368564 A368565 A368566 * A368568 A368569 A368570

Keyword

nonn

Author

Joerg Arndt, Dec 30 2023

Status

approved