|
|
A138181
|
|
Largest Fibonacci number not exceeding the n-th prime.
|
|
1
|
|
|
2, 3, 5, 5, 8, 13, 13, 13, 21, 21, 21, 34, 34, 34, 34, 34, 55, 55, 55, 55, 55, 55, 55, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 233, 233
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
a(n) = largest summand in the Zeckendorf representation of the n-th prime
|
|
LINKS
|
|
|
EXAMPLE
|
a(4)=5 because 5 is the largest Fibonacci number not exceeding 7 (the 4th prime)
|
|
MATHEMATICA
|
With[{rf=Reverse[Fibonacci[Range[20]]]}, Flatten[Table[Select[rf, #<=Prime[ n]&, 1], {n, 60}]]] (* Harvey P. Dale, May 25 2013 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|