A245102 - OEIS

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

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OFFSET

0,3

LINKS

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

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

CROSSREFS

Cf. A034781.

Sequence in context: A109318 A113327 A227791 * A129148 A285672 A081958

Adjacent sequences: A245099 A245100 A245101 * A245103 A245104 A245105

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 11 2014

STATUS

approved