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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.

A091616 Number of compositions (ordered partitions) of n such that some part is repeated consecutively 2 times and no part is repeated consecutively more than 2 times.

Table of values

n a(n)
2 1
3 0
4 3
5 6
6 10
7 23
8 50
9 99
10 200
11 404
12 805
13 1599
14 3166
15 6225
16 12223
17 23934
18 46713
19 90995
20 176935
21 343395
22 665474
23 1287918
24 2489467
25 4806805
26 9272272
27 17870317
28 34414163
29 66226890
30 127365537
31 244803475
32 470278815
33 902997083
34 1733124564
35 3325087228
36 6377076320

List of values

[1, 0, 3, 6, 10, 23, 50, 99, 200, 404, 805, 1599, 3166, 6225, 12223, 23934, 46713, 90995, 176935, 343395, 665474, 1287918, 2489467, 4806805, 9272272, 17870317, 34414163, 66226890, 127365537, 244803475, 470278815, 902997083, 1733124564, 3325087228, 6377076320]

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

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