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A072711 Last digit of F(n) is 9 where F(n) is the n-th Fibonacci number. 1
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 (list; graph; refs; listen; history; text; internal format)
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: A245169 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

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Last modified August 17 17:30 EDT 2017. Contains 290649 sequences.