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A143814
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Triangle T(n,m) read along rows: T(n,m) = n^2 - (m+1)^2 for 1<=m<n-1, T(n,n-1) = n^2-1.
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2
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3, 5, 8, 12, 7, 15, 21, 16, 9, 24, 32, 27, 20, 11, 35, 45, 40, 33, 24, 13, 48, 60, 55, 48, 39, 28, 15, 63, 77, 72, 65, 56, 45, 32, 17, 80, 96, 91, 84, 75, 64, 51, 36, 19, 99, 117, 112, 105, 96, 85, 72, 57, 40, 21, 120, 140, 135, 128, 119, 108, 95, 80, 63, 44, 23, 143
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OFFSET
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2,1
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COMMENTS
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The triangle appears taking the entries of A140978,
4;
9,9;
16,16,16;
25,25,25,25;
..
minus the entries of A133819 with the 1's moved to the end of the rows,
1;
4,1;
4,9,1;
4,9,16,1;
4,9,16,25,1;
The result T(n,m) is a variant of A120070, the first term in each row of A120070 transferred to the end of the row.
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LINKS
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EXAMPLE
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3;
5,8;
12,7,15;
21,16,9,24;
32,27,20,11,35;
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MAPLE
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A143814 := proc(n, m) if m<n-1 then n^2-(m+1)^2 ; elif m=n-1 then n^2-1 ; end if; end proc:
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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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