cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A296689 Let phi be the one-to-one mapping between binary trees and natural numbers described in the Tychonievich link. Let a(n) = min({phi^{-1}(t)| size(t)=n}); i.e., a(n) is the rank -- starting from 0 -- of the first tree the size of which is n.

Table of values

n a(n)
0 0
1 1
2 2
3 4
4 7
5 13
6 24
7 30
8 54
9 64
10 124
11 244
12 383
13 503
14 981
15 1021
16 1981
17 3901
18 6137
19 8057
20 13649
21 16369
22 32689
23 65329
24 98230
25 130870
26 229312
27 261952
28 491516
29 524156
30 1046388
31 1048564
32 2093044
33 4182004
34 8359924
35 16715764
36 25141220
37 33497060
38 58703812
39 67059652
40 125828996
41 134184836
42 259487492
43 268435204
44 536866564
45 1073729284

List of values

[0, 1, 2, 4, 7, 13, 24, 30, 54, 64, 124, 244, 383, 503, 981, 1021, 1981, 3901, 6137, 8057, 13649, 16369, 32689, 65329, 98230, 130870, 229312, 261952, 491516, 524156, 1046388, 1048564, 2093044, 4182004, 8359924, 16715764, 25141220, 33497060, 58703812, 67059652, 125828996, 134184836, 259487492, 268435204, 536866564, 1073729284]