login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A107390
Composite Fibonacci sequence: each term is the composite with index equal to the sum of the previous two terms.
0
4, 6, 18, 36, 76, 147, 285, 532, 984, 1795, 3237, 5793, 10293, 18168, 31887, 55709, 96926, 167972, 290136, 499615, 857947, 1469576, 2511369, 4282663, 7289002, 12383250, 21002336, 35564859, 60136917, 101547211, 171253466, 288461204
OFFSET
1,1
COMMENTS
What is the value of lim_{n -> infinity} a(n)/a(n+1)? - Ryan Propper, Jan 11 2007
FORMULA
a(n) = A002808(a(n-1) + a(n-2)); a(1)=4, a(2)=6.
EXAMPLE
a(5) = A002808(18 + 36) = A002808(54) = 76.
MATHEMATICA
Composite[n_Integer] := FixedPoint[n + PrimePi[ # ] + 1 &, n + PrimePi[n] + 1]; a = 4; b = 6; Do[c = Composite[a + b]; Print[c]; a = b; b = c, {n, 100}] (* Ryan Propper, Jan 11 2007 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Christopher M. Tomaszewski (cmt1288(AT)comcast.net), May 24 2005
EXTENSIONS
More terms from Ryan Propper, Jan 11 2007
STATUS
approved