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

1,1

Links

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

Formula

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

Example

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

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 *)

Prog

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

Crossrefs

Cf. A000045, A291179.

Sequence in context: A181739 A178314 A010339 * A102804 A192994 A235691

Adjacent sequences: A277602 A277603 A277604 * A277606 A277607 A277608

Keyword

base,nonn

Author

Bobby Jacobs, Oct 23 2016

Extensions

More terms from Bobby Jacobs, Oct 29 2016

Status

approved