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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. 5
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 A155718

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 November 26 21:55 EST 2014. Contains 250123 sequences.