OFFSET
1,3
COMMENTS
Asymptotically a(n)~C*n with C=0.75854... Is this constant rational?
The constant C=0.75854... is not rational. Otherwise it would imply the rationality of Pi since C = Pi/(Pi+1) = 0.7585469930... For n >= 6 we have a(n) = (n-1)-k with k >= 1 such that ceiling(k*(Pi+1)) <= (n-1) < ceiling((k+1)*(Pi+1)) = ceiling(k*(Pi+1)) + 4 or 5. So n-1 = k*(Pi+1) + O(1) and then: a(n) = (Pi/(Pi + 1))*n + O(1). - Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Jul 15 2002
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Benoit Cloitre, Apr 11 2002
STATUS
approved