A291886 Total height of all symmetrically unique Dyck paths of semilength n.

0, 1, 3, 8, 24, 73, 239, 808, 2839, 10173, 37107, 136778, 508622, 1902931, 7156180, 27020991, 102387426, 389129477, 1482851762, 5664065704, 21681357734, 83154466615, 319486977769, 1229491584784, 4738571829454, 18288152053984, 70672285064968, 273430196389027

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..600

Formula

a(n) = Sum_{k=1..n} k * A291883(n,k)

Crossrefs

Cf. A291883.

Sequence in context: A178543 A188175 A046919 * A275856 A303607 A281872

Adjacent sequences: A291883 A291884 A291885 * A291887 A291888 A291889

Keyword

nonn

Author

Alois P. Heinz, Sep 05 2017

Status

approved