A245103 - OEIS

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

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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+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