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A098173
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Triangle T(n,k) with diagonals T(n,n-k) = binomial(n, 4k).
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2
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1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 15, 1, 0, 0, 0, 0, 0, 0, 35, 1, 0, 0, 0, 0, 0, 0, 1, 70, 1, 0, 0, 0, 0, 0, 0, 0, 9, 126, 1, 0, 0, 0, 0, 0, 0, 0, 0, 45, 210, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 165, 330, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 495, 495, 1
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OFFSET
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0,20
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COMMENTS
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LINKS
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FORMULA
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Triangle T(n, k) = binomial(n, 4(n-k)).
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EXAMPLE
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Rows begin
{1},
{0,1},
{0,0,1},
{0,0,0,1},
{0,0,0,1,1},
{0,0,0,0,5,1},
...
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MATHEMATICA
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Table[Binomial[n, 4(n-k)], {n, 0, 12}, {k, 0, n}]//Flatten (* G. C. Greubel, Mar 15 2019 *)
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PROG
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(PARI) {T(n, k) = binomial(n, 4*(n-k))}; \\ G. C. Greubel, Mar 15 2019
(Magma) [[Binomial(n, 4*(n-k)): k in [0..n]]: n in [0..12]]; // G. C. Greubel, Mar 15 2019
(Sage) [[binomial(n, 4*(n-k)) for k in (0..n)] for n in (0..12)] # G. C. Greubel, Mar 15 2019
(GAP) Flat(List([0..12], n-> List([0..n], k-> Binomial(n, 4*(n-k)) ))); # G. C. Greubel, Mar 15 2019
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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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