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A128433 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. 5
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; refs; listen; history; text; internal format)
OFFSET

0,8

COMMENTS

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).

LINKS

Table of n, a(n) for n=0..51.

Eric Weisstein's World of Mathematics, Bernstein Polynomial

FORMULA

T(n,k)/A128434(n,k) = Binomial(n,k) * k^k * (n-k)^(n-k) / n^n.

CROSSREFS

Sequence in context: A189150 A155194 A080044 * A089746 A225330 A094884

Adjacent sequences:  A128430 A128431 A128432 * A128434 A128435 A128436

KEYWORD

nonn,tabl,frac

AUTHOR

Reinhard Zumkeller, Mar 03 2007

STATUS

approved

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Last modified February 19 06:46 EST 2018. Contains 299330 sequences. (Running on oeis4.)