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A122178
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Triangle, read by rows, where T(n,k) = C( n*(n+1)/2 + n-k - 1, n-k), for n>=k>=0.
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5
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1, 1, 1, 6, 3, 1, 56, 21, 6, 1, 715, 220, 55, 10, 1, 11628, 3060, 680, 120, 15, 1, 230230, 53130, 10626, 1771, 231, 21, 1, 5379616, 1107568, 201376, 31465, 4060, 406, 28, 1, 145008513, 26978328, 4496388, 658008, 82251, 8436, 666, 36, 1, 4431613550
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OFFSET
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0,4
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COMMENTS
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A triangle having similar properties and complementary construction is the dual triangle A098568.
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LINKS
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FORMULA
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EXAMPLE
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Triangle begins:
1;
1, 1;
6, 3, 1;
56, 21, 6, 1;
715, 220, 55, 10, 1;
11628, 3060, 680, 120, 15, 1;
230230, 53130, 10626, 1771, 231, 21, 1;
5379616, 1107568, 201376, 31465, 4060, 406, 28, 1;
145008513, 26978328, 4496388, 658008, 82251, 8436, 666, 36, 1; ...
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PROG
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(PARI) T(n, k)=binomial(n*(n+1)/2+n-k-1, n-k)
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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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