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A128434
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Triangle read by rows, 0<=k<=n: T(n,k) = denominator of the maximum of the k-th Bernstein polynomial of degree n; numerator is A128433.
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5
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1, 1, 1, 1, 2, 1, 1, 9, 9, 1, 1, 64, 8, 64, 1, 1, 625, 625, 625, 625, 1, 1, 7776, 243, 16, 243, 7776, 1, 1, 117649, 117649, 117649, 117649, 117649, 117649, 1, 1, 2097152, 16384, 2097152, 128, 2097152, 16384, 2097152, 1, 1, 43046721, 43046721, 6561, 43046721
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OFFSET
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0,5
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COMMENTS
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For n>0: Sum(A128433(n,k)/T(n,k): 0<=k<=n) = A090878(n)/A036505(n-1);
T(n,n-k) = T(n,k); T(n,0) = 1;
for n>0: A128433(n,1)/T(n,1) = A000312(n-1)/A000169(n).
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LINKS
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Table of n, a(n) for n=0..49.
Eric Weisstein's World of Mathematics, Bernstein Polynomial
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FORMULA
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A128433(n,k)/T(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: A229962 A141601 A108558 * A176417 A119731 A155718
Adjacent sequences: A128431 A128432 A128433 * A128435 A128436 A128437
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KEYWORD
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nonn,tabl,frac
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AUTHOR
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Reinhard Zumkeller, Mar 03 2007
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STATUS
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approved
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