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A107110
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Square array by antidiagonals where T(n,k) is the number of partitions of k into no more than n parts each no more than n. Visible version of A063746.
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1
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1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 3, 2, 1, 1, 0, 0, 0, 3, 3, 2, 1, 1, 0, 0, 0, 3, 5, 3, 2, 1, 1, 0, 0, 0, 3, 5, 5, 3, 2, 1, 1, 0, 0, 0, 2, 7, 7, 5, 3, 2, 1, 1, 0, 0, 0, 1, 7, 9, 7, 5, 3, 2, 1, 1, 0, 0, 0, 1, 8, 11, 11, 7, 5, 3, 2, 1, 1, 0, 0, 0, 0, 7, 14, 13, 11, 7, 5, 3, 2
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OFFSET
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0,13
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LINKS
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FORMULA
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EXAMPLE
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Rows start 1,0,0,0,...; 1,1,0,0,0,...; 1,1,2,1,1,0,0,0,...; 1,1,2,3,3,3,3,2,1,1,0,0,0,...; 1,1,2,3,5,5,7,7,8,7,7,5,5,3,2,1,1,0,0,0,...; etc.
T(4,6)=7 since 6 can be written seven ways with no more than 4 parts each no more than 4: 4+2, 4+1+1, 3+3, 3+2+1, 3+1+1+1, 2+2+2, or 2+2+1+1.
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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