A072711 Integers m such that the last digit of Fibonacci(m) is 9.

11, 29, 31, 32, 38, 49, 52, 58, 71, 89, 91, 92, 98, 109, 112, 118, 131, 149, 151, 152, 158, 169, 172, 178, 191, 209, 211, 212, 218, 229, 232, 238, 251, 269, 271, 272, 278, 289, 292, 298, 311, 329, 331, 332, 338, 349, 352, 358, 371, 389, 391, 392, 398, 409

Offset

1,1

Comments

Sequence contains numbers of form (11+60k), (29+60k), (31+60k), (32+60k), (38+60k), (49+60k), (52+60k), (58+60k), with k>=0.

Links

Table of n, a(n) for n=1..54.

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

Formula

G.f.: x*(2*x^8+6*x^7+3*x^6+11*x^5+6*x^4+x^3+2*x^2+18*x+11) / (x^9-x^8-x+1). - Colin Barker, Jun 16 2013

Mathematica

Select[Range[500], Last[IntegerDigits[Fibonacci[#]]]==9&] (* or *) LinearRecurrence[ {1, 0, 0, 0, 0, 0, 0, 1, -1}, {11, 29, 31, 32, 38, 49, 52, 58, 71}, 60] (* Harvey P. Dale, Sep 06 2015 *)

Crossrefs

Cf. A000045, A003893.

Sequence in context: A323822 A196357 A196360 * A005110 A059337 A126240

Adjacent sequences: A072708 A072709 A072710 * A072712 A072713 A072714

Keyword

nonn,base,easy

Author

Benoit Cloitre, Aug 07 2002

Status

approved