A245103 Number of (2n+1)-node rooted trees of height n.

1, 1, 4, 18, 93, 498, 2744, 15349, 86802, 494769, 2837412, 16351036, 94599339, 549118128, 3196397701, 18651028188, 109057492901, 638863803720, 3748605725140, 22027421351633, 129606128716906, 763484925360476, 4502370205339221, 26577052185126059

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+1,n).

a(n) ~ c * d^n / sqrt(n), where d = 6.0313827950978605329935... (same as for A245102 and A339440), c = 0.14566140512597547487... . - Vaclav Kotesovec, Jul 12 2014