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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 October 22 01:42 EDT 2018. Contains 316431 sequences. (Running on oeis4.)