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 A128434 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. 10
 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS 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). LINKS Eric Weisstein's World of Mathematics, Bernstein Polynomial FORMULA A128433(n,k)/T(n,k) = binomial(n,k) * k^k * (n-k)^(n-k) / n^n. CROSSREFS Sequence in context: A229962 A141601 A108558 * A176417 A119731 A283321 Adjacent sequences:  A128431 A128432 A128433 * A128435 A128436 A128437 KEYWORD nonn,tabl,frac AUTHOR Reinhard Zumkeller, Mar 03 2007 STATUS approved

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Last modified September 15 12:22 EDT 2019. Contains 327078 sequences. (Running on oeis4.)