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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

Table of n, a(n) for n=0..49.

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 January 21 19:08 EST 2019. Contains 319350 sequences. (Running on oeis4.)