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

0,3

Links

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

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

Crossrefs

Cf. A034781.

Sequence in context: A020064 A306153 A123589 * A200717 A346763 A121584

Adjacent sequences: A245100 A245101 A245102 * A245104 A245105 A245106

Keyword

nonn

Author

Alois P. Heinz, Jul 11 2014

Status

approved