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A302800
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Irregular triangle read by rows: T(n,k) is the area of the k-th region of the diagram with n rows described in A237591.
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0
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1, 3, 5, 1, 8, 2, 11, 4, 15, 5, 1, 19, 7, 2, 24, 9, 3, 29, 11, 5, 35, 13, 6, 1, 41, 16, 7, 2, 48, 18, 9, 3, 55, 21, 11, 4, 63, 24, 12, 6, 71, 27, 14, 7, 1, 80, 30, 16, 8, 2, 89, 34, 18, 9, 3, 99, 37, 20, 11, 4, 109, 41, 22, 13, 5, 120, 45, 24, 14, 7, 131, 49, 27, 15, 8, 1, 143, 53, 29, 17, 9, 2
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OFFSET
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1,2
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COMMENTS
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Column k lists the partial sums of the k-th column of triangle A237591.
We can see this sequence in the front view of the pyramid described in A245092.
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LINKS
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EXAMPLE
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Triangle begins:
1;
3;
5, 1;
8, 2;
11, 4;
15, 5, 1;
19, 7, 2;
24, 9, 3;
29, 11, 5;
35, 13, 6, 1;
41, 16, 7, 2;
48, 18, 9, 3;
55, 21, 11, 4;
63, 24, 12, 6;
71, 27, 14, 7, 1;
80, 30, 16, 8, 2;
89, 34, 18, 9, 3;
99, 37, 20, 11, 4;
109, 41, 22, 13, 5;
120, 45, 24, 14, 7;
131, 49, 27, 15, 8, 1;
...
Illustration for n = 10:
We draw the first 10 rows of the infinite diagram described in A237591 as shown below:
Row _
1 _| |
2 _| _|
3 _| | |
4 _| _| |
5 _| | _|
6 _| _| | |
7 _| | | |
8 _| _| _| |
9 _| | | _|
10 |_ _ _ _ _ _|_ _|_|_|
Area 35 13 6 1
.
The diagram contains four regions and the areas of the successives regions from left to right are respectively [35, 13, 6, 1], so the 10th row of this triangle is [35, 13, 6, 1].
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CROSSREFS
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Column 1 gives A024206 without its initial zero.
Column 2 gives the partial sums of the A261348.
Cf. A000203, A004125, A024916, A196020, A235791, A236104, A237048, A237591, A237593, A244050, A245092, A262626, A286000, A286001.
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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