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A134394
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Triangle T(n,k) = Sum_{j=k..n} A077028(j,k), read by rows.
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3
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1, 2, 1, 3, 3, 1, 4, 6, 4, 1, 5, 10, 9, 5, 1, 6, 15, 16, 12, 6, 1, 7, 21, 25, 22, 15, 7, 1, 8, 28, 36, 35, 28, 18, 8, 1, 9, 36, 49, 51, 45, 34, 21, 9, 1, 10, 45, 64, 70, 66, 55, 40, 24, 10, 1, 11, 55, 81, 92, 91, 81, 65, 46, 27, 11, 1, 12, 66, 100, 117, 120, 112, 96, 75, 52, 30, 12, 1, 13, 78, 121, 145, 153
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OFFSET
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1,2
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COMMENTS
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Row sums = A055795: (1, 3, 7, 15, 30, 56, 98, ...).
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LINKS
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FORMULA
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EXAMPLE
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First few rows of the triangle:
1;
2, 1;
3, 3, 1;
4, 6, 4, 1;
5, 10, 9, 5, 1;
6, 15, 16, 12, 6, 1;
7, 21, 25, 22, 15, 7, 1;
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MAPLE
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A077028 := proc(n, k) if n < 0 or k<0 or k > n then 0; else k*(n-k)+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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