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Search: id:A128433
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| A128433 |
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Triangle read by rows, 0<=k<=n: T(n,k) = numerator of the maximum of the k-th Bernstein polynomial of degree n; denominator is A128434. |
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6
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| 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 27, 3, 27, 1, 1, 256, 216, 216, 256, 1, 1, 3125, 80, 5, 80, 3125, 1, 1, 46656, 37500, 34560, 34560, 37500, 46656, 1, 1, 823543, 5103, 590625, 35, 590625, 5103, 823543, 1, 1, 16777216, 13176688, 1792, 11200000, 11200000, 1792
(list; table; graph; listen)
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OFFSET
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0,8
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COMMENT
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For n>0: Sum(T(n,k)/A128434(n,k): 0<=k<=n) = A090878(n)/A036505(n-1);
T(n,n-k) = T(n,k); T(n,0) = 1;
for n>0: T(n,1)/A128434(n,1) = A000312(n-1)/A000169(n).
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LINKS
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Eric Weisstein's World of Mathematics, Bernstein Polynomial
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FORMULA
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T(n,k)/A128434(n,k) = Binomial(n,k) * k^k * (n-k)^(n-k) / n^n.
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CROSSREFS
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Sequence in context: A075613 A155194 A080044 this_sequence A089746 A094884 A053216
Adjacent sequences: A128430 A128431 A128432 this_sequence A128434 A128435 A128436
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KEYWORD
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nonn,tabl,frac
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 03 2007
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