OFFSET
1,2
COMMENTS
a(n) is the smallest integer strictly greater than the maximum value of p(2n+1,x) in the interval [ -1,-(2n+1)]. Note that this maximum value is attained by p(2n+1,x) at some root of its derivative. - Max Alekseyev, Oct 18 2008
PROG
(PARI) {a(n) = local(p, r, m); p=prod(k=1, 2*n+1, x+k); r=real(polroots(deriv(p))); m=vecmax(vector(#r, j, floor(subst(p, x, r[j])))); if( polsturm(p-m)<=1 || polsturm(p-m-1)>1, error("increase realprecision")); m+1} \\ Max Alekseyev, Oct 18 2008
CROSSREFS
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Nov 29 2002
EXTENSIONS
a(5)-a(13) from Max Alekseyev, Oct 18 2008
STATUS
approved