|
| |
|
|
A092328
|
|
Solutions to the equation x^2=ceiling(x*r*floor(x/r)) where r=Pi.
|
|
0
|
|
|
|
0, 22, 44, 355, 710, 1065, 1420, 1775, 2130, 2485, 2840, 3195, 312689, 1146408, 5419351, 10838702
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
Does limit n->infty log(a(n))/n exist ?
Notice that the entries above are either numerators of convergents to Pi (A002485) or multiples thereof. - Robert G. Wilson v, Feb 26 2004
|
|
|
LINKS
|
Table of n, a(n) for n=1..16.
|
|
|
MATHEMATICA
|
Do[ If[ n^2 == Ceiling[n*3.1415926535897932346264*Floor[n/3.1415926535897932346264]], Print[n]], {n, 0, 10^8}] (From Robert G. Wilson v Feb 26 2004)
|
|
|
PROG
|
(PARI) for(x=1, 2000000, if(x^2==ceil(Pi*x*floor(x/Pi)), print1(x, ", ")))
|
|
|
CROSSREFS
|
Sequence in context: A038153 A033848 A084024 * A138869 A138872 A003858
Adjacent sequences: A092325 A092326 A092327 * A092329 A092330 A092331
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Benoit Cloitre, Feb 14 2004
|
|
|
EXTENSIONS
|
More terms from Robert G. Wilson v, Feb 26 2004
|
|
|
STATUS
|
approved
|
| |
|
|
