A245102 Number of 2n-node rooted trees of height n.

0, 1, 2, 8, 36, 180, 941, 5079, 27961, 156129, 880883, 5009625, 28668920, 164897622, 952418882, 5520254925, 32090787577, 187030223470, 1092467751427, 6393706661582, 37484034980109, 220093799592140, 1294100839792723, 7618482099893824, 44901233075819275

Offset: 0

Author

Alois P. Heinz, Jul 11 2014

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..200

Crossrefs

Cf. A034781.

Formula

a(n) = A034781(2n,n).

a(n) ~ c * d^n / sqrt(n), where d = 6.0313827950978605329935..., c = 0.03944957121899527... . - Vaclav Kotesovec, Jul 12 2014