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A209314
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Tetrahedron T(n,k,j) of appearances of k as the smallest parts in all partition of n.
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1
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1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 3, 1, 1, 0, 0, 0, 1, 1, 1, 2, 3, 5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 5, 7, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 5, 7, 11, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3
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OFFSET
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1,7
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COMMENTS
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The sum of row k of the slice n is A220504(n,k).
The sum of all elements of the n-th slice is spt(n) = A092269(n), the smallest parts partition function.
First row of slice n lists the first n partition numbers A000041.
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LINKS
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EXAMPLE
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--------------------------------------------------
. Triangle
(Slice n = 1..6) (the row sums) spt(n)
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1; 1 1
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1, 1; 2
1; 1 3
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1, 1, 2; 4
0, 0; 0
1; 1 5
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1, 1, 2, 3; 7
1, 1, 0; 2
0, 0; 0
1; 1 10
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1, 1, 2, 3, 5; 12
0, 1, 0, 0; 1
0, 0, 0; 0
0, 0; 0
1; 1 14
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1, 1, 2, 3, 5, 7; 19
1, 1, 2, 0, 0; 4
1, 1, 0, 0; 2
0, 0, 0; 0
0, 0; 0
1; 1 26
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CROSSREFS
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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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