A173282 - OEIS

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A173282

Partial sums of A001190.

0, 1, 2, 3, 5, 8, 14, 25, 48, 94, 192, 399, 850, 1833, 4012, 8862, 19767, 44398, 100409, 228321, 521868, 1198025, 2761397, 6387546, 14823925, 34504202, 80530820, 188421429, 441872140, 1038444527, 2445263286, 5768499524, 13631457915, 32263783234, 76478352334

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OFFSET

0,3

COMMENTS

The largest rank for some unlabeled binary rooted tree with n leaves (n>0) in a simple bijection between unlabeled binary rooted trees and positive integers. -Noah A Rosenberg, Jun 14 2022

LINKS

Table of n, a(n) for n=0..34.

N. A. Rosenberg, On the Colijn-Plazzotta numbering scheme for unlabeled binary rooted trees, Discr. Appl. Math. 291 (2021), 88-98.

FORMULA

a(n) = Sum_{i=0..n} A001190(i).

CROSSREFS

Cf. A001190.

Sequence in context: A119262 A177510 A062178 * A178833 A212657 A065955

Adjacent sequences: A173279 A173280 A173281 * A173283 A173284 A173285

KEYWORD

nonn

AUTHOR

Jonathan Vos Post, Feb 14 2010

EXTENSIONS

a(25) corrected by Georg Fischer, Aug 28 2020

STATUS

approved