A205866 Positions of multiples of 8 in A204922 (differences of Fibonacci numbers).

14, 19, 21, 23, 37, 50, 56, 65, 67, 76, 78, 80, 86, 94, 109, 111, 112, 125, 131, 140, 142, 143, 152, 157, 159, 160, 169, 171, 173, 179, 185, 199, 211, 220, 222, 223, 236, 242, 248, 254, 263, 265, 266, 275, 277, 286, 288, 289, 298, 300, 302, 308, 314

Offset

1,1

Comments

For a guide to related sequences, see A205840.

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

In A204922=(1,2,1,4,3,2,7,6,5,3,12,11,...), multiples of 8 are in positions 14,19,21,...  See the example at A205867.

Maple

R:= select(t -> combinat:-fibonacci(t[1])-combinat:-fibonacci(t[2]) mod 8 =0, [seq(seq([i, j], i=0..11), j=0..11)]):
Res:= NULL:
for kk from 3 to 50 do
   km:= kk mod 12;
   n0:= 1 + (kk-2)*(kk-3)/2;
   js:= [$n0 ..(n0+kk-3)];
   Res:= Res, op( select(t -> member([kk, t+2-n0] mod 12, R), js));
od:
Res; # Robert Israel, Jul 27 2020

Mathematica

(See the program at A205867.)

Crossrefs

Cf. A204890, A205867, A205840.

Sequence in context: A065343 A222576 A165228 * A248134 A013649 A013657

Adjacent sequences: A205863 A205864 A205865 * A205867 A205868 A205869

Keyword

nonn

Author

Clark Kimberling, Feb 02 2012

Status

approved