login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 9 13:48 EST 2016. Contains 278971 sequences.