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.

A108427 Number of peaks of the form Ud in all paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1), U=(1,2), or d=(1,-1).

Table of values

n a(n)
1 1
2 9
3 85
4 833
5 8361
6 85305
7 880685
8 9173505
9 96220561
10 1014889769
11 10753517061
12 114375683009
13 1220435354425
14 13058529727833
15 140059477112925
16 1505357362548737
17 16209464357137953
18 174827809500822345
19 1888383038494338485
20 20424130116241366593
21 221164921352046545609
22 2397512484385887298681

List of values

[1, 9, 85, 833, 8361, 85305, 880685, 9173505, 96220561, 1014889769, 10753517061, 114375683009, 1220435354425, 13058529727833, 140059477112925, 1505357362548737, 16209464357137953, 174827809500822345, 1888383038494338485, 20424130116241366593, 221164921352046545609, 2397512484385887298681]