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A205866 Positions of multiples of 8 in A204922 (differences of Fibonacci numbers). 3

%I #14 Jul 28 2020 07:01:30

%S 14,19,21,23,37,50,56,65,67,76,78,80,86,94,109,111,112,125,131,140,

%T 142,143,152,157,159,160,169,171,173,179,185,199,211,220,222,223,236,

%U 242,248,254,263,265,266,275,277,286,288,289,298,300,302,308,314

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

%C For a guide to related sequences, see A205840.

%H Robert Israel, <a href="/A205866/b205866.txt">Table of n, a(n) for n = 1..10000</a>

%e 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.

%p R:= select(t -> combinat:-fibonacci(t[1])-combinat:-fibonacci(t[2]) mod 8 =0, [seq(seq([i,j],i=0..11),j=0..11)]):

%p Res:= NULL:

%p for kk from 3 to 50 do

%p km:= kk mod 12;

%p n0:= 1 + (kk-2)*(kk-3)/2;

%p js:= [$n0 ..(n0+kk-3)];

%p Res:= Res, op( select(t -> member([kk, t+2-n0] mod 12,R), js));

%p od:

%p Res; # _Robert Israel_, Jul 27 2020

%t (See the program at A205867.)

%Y Cf. A204890, A205867, A205840.

%K nonn

%O 1,1

%A _Clark Kimberling_, Feb 02 2012

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Last modified April 17 23:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)