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A050165
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Triangle read by rows: T(n,k) = M(2n+1,k,-1), 0 <= k <= n, n >= 0, array M as in A050144.
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3
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1, 1, 1, 1, 3, 2, 1, 5, 9, 5, 1, 7, 20, 28, 14, 1, 9, 35, 75, 90, 42, 1, 11, 54, 154, 275, 297, 132, 1, 13, 77, 273, 637, 1001, 1001, 429, 1, 15, 104, 440, 1260, 2548, 3640, 3432, 1430, 1, 17, 135, 663, 2244, 5508, 9996, 13260, 11934
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OFFSET
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0,5
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COMMENTS
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T is a mirror image of the array in A039599.
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LINKS
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FORMULA
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Triangle T(n, k) read by rows; given by [1, 0, 0, 0, 0, 0, 0, 0, ...] DELTA [1, 1, 1, 1, 1, 1, 1, 1, 1, ...] where DELTA is the operator defined in A084938. T(n, k) = C(2n, k)*(2n-2k+1)/(2n-k+1). - Philippe Deléham, Dec 07 2003
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EXAMPLE
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Triangle begins:
1;
1, 1;
1, 3, 2;
1, 5, 9, 5;
1, 7, 20, 28, 14;
1, 9, 35, 75, 90, 42;
1, 11, 54, 154, 275, 297, 132;
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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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