## F#, <s>202</s> 166 bytes

 let rec f a b = seq {
 yield int(a%6m)|>function|0->"FiboNacci"|2|4->"Fibo"|3->"Nacci"|_->a.ToString()
 yield! f b (a+b)} 
 f 1m 1m|>Seq.take 100|>Seq.iter(printfn"%s")

This is an FSX file