A072675 Integers m such that the last digit of Fibonacci(m) is 1.

1, 2, 8, 19, 22, 28, 41, 59, 61, 62, 68, 79, 82, 88, 101, 119, 121, 122, 128, 139, 142, 148, 161, 179, 181, 182, 188, 199, 202, 208, 221, 239, 241, 242, 248, 259, 262, 268, 281, 299, 301, 302, 308, 319, 322, 328, 341, 359, 361, 362, 368, 379, 382, 388, 401

Offset

1,2

Links

Table of n, a(n) for n=1..55.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,1,-1).

Formula

Sequence contains numbers of form (1+60k) (2+60k) (8+60k) (19+60k) (22+60k) (28+60k) (41+60k) (59+60k) k>=0.

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

Example

Fibonacci(28) = 317811, so 28 is a term.

Mathematica

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 *)

Crossrefs

Cf. A000045, A003893.

Sequence in context: A058217 A306616 A183183 * A033711 A093012 A049525

Adjacent sequences: A072672 A072673 A072674 * A072676 A072677 A072678

Keyword

nonn,base,easy

Author

Benoit Cloitre, Aug 07 2002

Status

approved