|
|
|
|
2, 3, 3, 7, 18, 123, 2207, 271443, 599074578, 162614600673847, 97418273275323406890123, 15841633607002416873831447357889638603, 1543264591854508694059691789796980188767738307671225999544322
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
COMMENTS
|
This is the sequence defined by the third-order non-linear recurrence a(n+1) = a(n)*a(n-1) - a(n-2) and a(0)=2, a(1)=3, a(2)=3.
|
|
LINKS
|
|
|
FORMULA
|
|
|
MATHEMATICA
|
Table[LucasL[2 Fibonacci[n]], {n, 0, 10}]
RecurrenceTable[{a[0]==2, a[1]==a[2]==3, a[n+1]==a[n]a[n-1]-a[n-2]}, a, {n, 20}] (* Harvey P. Dale, Mar 28 2020 *)
|
|
PROG
|
(PARI) a(n)={my(t=2*fibonacci(n)); fibonacci(t + 1) + fibonacci(t - 1)} \\ Andrew Howroyd, Mar 01 2020
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|