|
| |
|
|
A094960
|
|
Positive integers n such that the derivative of n-th Bernoulli polynomial B(n,x) contains only integer coefficients.
|
|
0
| | |
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| No other terms below 10^9. [From Max Alekseyev (maxale(AT)gmail.com), Dec 08 2011]
Integer n belongs to this sequence if n*binomial(n-1,k)*bernoulli(k) is integer for each k=0,1,...,n-1. [From Max Alekseyev (maxale(AT)gmail.com), Dec 08 2011]
|
|
|
EXAMPLE
| B(6,x) = x^6 - 3*x^5 + (5/2)*x^4 - (1/2)*x^2 + 1/42 so B'(6,x) contains only integer coefficients and 6 is in the sequence.
|
|
|
MAPLE
| p:=proc(n) if denom(diff(bernoulli(n, x), x))=1 then n else fi end:seq(p(n), n=1..100); (Deutsch)
|
|
|
CROSSREFS
| Sequence in context: A045963 A128169 A095923 * A032396 A087148 A153817
Adjacent sequences: A094957 A094958 A094959 * A094961 A094962 A094963
|
|
|
KEYWORD
| more,nonn,hard
|
|
|
AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 19 2004
|
| |
|
|
