|
|
A125028
|
|
a(1)=2, a(n)=2*a(n-1)-floor(sqrt(a(n-1))).
|
|
0
|
|
|
2, 3, 5, 8, 14, 25, 45, 84, 159, 306, 595, 1166, 2298, 4549, 9031, 17967, 35800, 71411, 142555, 284733, 568933, 1137112, 2273158, 4544809, 9087487, 18171960, 36339658, 72673288, 145338052, 290664049, 581311050
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
For any a(1)>1, a(n)/a(n-1)=>2; for large n's, a(n)=>c*2^n with c depending on a(1)>1; for a(1)=2 c=0.270675.
|
|
LINKS
|
|
|
MATHEMATICA
|
NestList[2#-Floor[Sqrt[ # ]]&, 2, 30]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|