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A229951 Number of toothpicks added at n-th stage to the toothpick structure of A229950. 5
0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 3, 1, 3, 2, 3, 0, 3, 2, 3, 1, 3, 1, 3, 1, 4, 3, 4, 1, 4, 3, 4, 1, 4, 2, 4, 2, 4, 3, 4, 0, 4, 3, 5, 3, 5, 3, 5, 2, 5, 4, 5, 1, 5, 4, 5, 2, 5, 3, 5, 3, 5, 3, 5, 1, 6, 5, 6, 4, 6, 4, 6, 2, 6, 5, 6, 2, 6, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,10
COMMENTS
Essentially the first differences of A229950.
Also [0, 0, 0] together the row sums of triangle A229940.
The toothpick structure has the property that the number of exposed endpoints in the row 2k equals the number of divisors of k, if 1<2k<n, k>=1. See example and Link section.
LINKS
EXAMPLE
Illustration of initial terms:
----------------------------------------
n a(n) Diagram A000005
----------------------------------------
0 0
1 0
2 0 1
3 1 |
4 0 2
5 1 |
6 0 2
7 1 |
8 0 3
9 2 | |
10 1 | 2
11 2 | |
12 0 4
13 2 | |
14 1 | 2
15 2 | |
16 0 4
17 2 | |
18 1 | 3
19 3 | | |
20 1 | 4
21 3 | | |
22 2 | | 2
23 3 | | |
24 0 6
25 3 | | |
26 2 | | 2
27 3 | | |
28 1 | 4
29 3 | | |
30 1 | 4
31 3 | | |
32 1 | 5
33 4 | | | |
...
CROSSREFS
Sequence in context: A033794 A218856 A101665 * A165034 A193347 A115862
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Oct 04 2013
STATUS
approved

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Last modified July 23 04:24 EDT 2024. Contains 374544 sequences. (Running on oeis4.)