%I #19 Mar 27 2024 12:29:33
%S 1,2,8,19,22,28,41,59,61,62,68,79,82,88,101,119,121,122,128,139,142,
%T 148,161,179,181,182,188,199,202,208,221,239,241,242,248,259,262,268,
%U 281,299,301,302,308,319,322,328,341,359,361,362,368,379,382,388,401
%N Integers m such that the last digit of Fibonacci(m) is 1.
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,1,-1).
%F Sequence contains numbers of form (1+60k) (2+60k) (8+60k) (19+60k) (22+60k) (28+60k) (41+60k) (59+60k) k>=0.
%F G.f.: x*(x^8+18*x^7+13*x^6+6*x^5+3*x^4+11*x^3+6*x^2+x+1) / (x^9-x^8-x+1). - _Colin Barker_, Jun 16 2013
%e Fibonacci(28) = 317811, so 28 is a term.
%t Position[Fibonacci[Range[500]],_?(Mod[#,10]==1&)]//Flatten (* or *) LinearRecurrence[{1,0,0,0,0,0,0,1,-1},{1,2,8,19,22,28,41,59,61},70] (* _Harvey P. Dale_, Sep 17 2018 *)
%Y Cf. A000045, A003893.
%K nonn,base,easy
%O 1,2
%A _Benoit Cloitre_, Aug 07 2002