A277605 Numbers not in a Fibonacci sequence starting with two 1-digit numbers.

106, 114, 119, 122, 127, 130, 132, 135, 140, 143, 145, 148, 151, 153, 156, 158, 161, 164, 166, 169, 171, 172, 174, 177, 179, 182, 184, 185, 187, 190, 192, 193, 195, 197, 198, 200, 203, 205, 206, 208, 210, 211, 213, 214, 216, 218, 219, 221, 224, 226

Offset: 1

Author

Bobby Jacobs, Oct 23 2016

Keywords

• base
• nonn

Examples

			106 is in this sequence because it is not in any Fibonacci sequence starting with two 1-digit numbers.
		

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000045, A291179.

Programs

Mathematica

With[{nn = 226}, Complement[Range@ nn, TakeWhile[Union@ Flatten@ Map[LinearRecurrence[{1, 1}, #, 1 + Floor[1/2 + Log[GoldenRatio, Sqrt[5] nn]]] &, Tuples[Range@ 9, 2]], # <= nn &]]] (* Michael De Vlieger, Aug 19 2017 *)

PARI

is(n)=if(n<106, return(0)); for(a=1,9, for(b=1,9, my(x=a,y=a+b); while(yCharles R Greathouse IV, Oct 30 2016

Formula

a(n) = n + O(log n). - Charles R Greathouse IV, Oct 30 2016

Extensions

More terms from Bobby Jacobs, Oct 29 2016