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A185905
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Rectangular array binomial(k+3,4)*binomial(n+3,4), by antidiagonals.
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4
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1, 5, 5, 15, 25, 15, 35, 75, 75, 35, 70, 175, 225, 175, 70, 126, 350, 525, 525, 350, 126, 210, 630, 1050, 1225, 1050, 630, 210, 330, 1050, 1890, 2450, 2450, 1890, 1050, 330, 495, 1650, 3150, 4410, 4900, 4410, 3150, 1650, 495, 715, 2475, 4950, 7350, 8820, 8820, 7350, 4950, 2475, 715, 1001, 3575, 7425, 11550
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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T(n,k) = binomial(k+3,4)*binomial(n+3,4), k >= 1, n >= 1.
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EXAMPLE
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Northwest corner:
1, 5, 15, 35, 70
5, 25, 75, 175, 350
15, 75, 225, 525, 1050
35, 175, 425, 1225, 2450
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MATHEMATICA
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a[n_, k_] := Binomial[k + 3, 4]*Binomial[n + 3, 4]; Table[a[n - k + 1, k], {n, 10}, {k, n, 1, -1}] // Flatten (* G. C. Greubel, Jul 22 2017 *)
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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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