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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.

A243875 Number of Dyck paths of semilength n having exactly 5 (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)).

Table of values

n a(n)
21 1
22 7
23 40
24 219
25 1161
26 6035
27 30816
28 154815
29 766711
30 3749225
31 18128129
32 86772929
33 411599785
34 1936434085
35 9042584447
36 41939926492
37 193310490160
38 885917766448
39 4038628790596
40 18320941855600
41 82734637234636
42 372039593944604
43 1666387342165538
44 7436328773819975

List of values

[1, 7, 40, 219, 1161, 6035, 30816, 154815, 766711, 3749225, 18128129, 86772929, 411599785, 1936434085, 9042584447, 41939926492, 193310490160, 885917766448, 4038628790596, 18320941855600, 82734637234636, 372039593944604, 1666387342165538, 7436328773819975]

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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