%I #26 May 19 2020 19:12:34

%S 1,2,3,4,5,6,7,11,12,13,17,23,29,43,46,47,58,69,83,86,129,131,137,141,

%T 166,262,274,332,359,411,431,433,449,509,569,571,718,862,866,898,1018,

%U 1138,1142,1293,1347,1436

%N A number n is included if largest prime (or 1 if no prime divides) dividing the n-th Fibonacci number is itself a Fibonacci number.

%C A001605 is a subsequence. 2036 and 2276 are also terms. - _Chai Wah Wu_, May 19 2020

%e The 12th Fibonacci number is 144. The largest prime dividing 144 is 3 and 3 is the 4th Fibonacci number. So 12 is in the sequence.

%o (PARI) isfib(n) = my(k=n^2); k+=(k+1)<<2; issquare(k) || (n>0 && issquare(k-8));

%o isok(n) = my(f=fibonacci(n)); (f==1) || isfib(vecmax(factor(f)[,1])); \\ _Michel Marcus_, Sep 06 2019

%Y Cf. A000045, A001605, A060385.

%K nonn,more

%O 1,2

%A _Leroy Quet_, Feb 26 2006

%E More terms from _Diana L. Mecum_, Jun 02 2007

%E a(28)-a(40) from _Michel Marcus_, Sep 06 2019

%E a(41)-a(46) from _Chai Wah Wu_, May 19 2020