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A210946
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Triangle read by rows: T(n,k) = sum of parts in the k-th column of the mirror of the last section of the set of partitions of n with its parts aligned to the right margin.
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0
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1, 3, 5, 9, 2, 12, 3, 20, 9, 2, 25, 11, 3, 38, 22, 9, 2, 49, 28, 14, 3, 69, 44, 26, 9, 2, 87, 55, 37, 14, 3, 123, 83, 62, 29, 9, 2, 152
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listen;
history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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Row n lists the positive terms of the n-th row of triangle A210953 in decreasing order.
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LINKS
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EXAMPLE
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For n = 7 the illustration shows two arrangements of the last section of the set of partitions of 7:
.
. (7) (7)
. (4+3) (3+4)
. (5+2) (2+5)
. (3+2+2) (2+2+3)
. (1) (1)
. (1) (1)
. (1) (1)
. (1) (1)
. (1) (1)
. (1) (1)
. (1) (1)
. (1) (1)
. (1) (1)
. (1) (1)
. (1) (1)
. ---------
. 25,11,3
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The left hand picture shows the last section of 7 with its parts aligned to the right margin. In the right hand picture (the mirror) we can see that the sum of all parts of the columns 1..3 are 25, 11, 3 therefore row 7 lists 25, 11, 3.
Written as a triangle begins:
1;
3;
5;
9, 2;
12, 3;
20, 9, 2;
25, 11, 3;
38, 22, 9, 2;
49, 28, 14, 3;
69, 44, 26, 9, 2;
87, 55, 37, 14, 3,
123, 83, 62, 29, 9, 2;
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CROSSREFS
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Cf. A135010, A138121, A182703, A194714, A196807, A206437, A207031, A207034, A207035, A210945, A210952, A210953.
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KEYWORD
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nonn,tabf,more
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AUTHOR
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STATUS
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approved
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