A072709 Integers m such that the last digit of Fibonacci(m) is 7.

14, 16, 17, 23, 34, 37, 43, 56, 74, 76, 77, 83, 94, 97, 103, 116, 134, 136, 137, 143, 154, 157, 163, 176, 194, 196, 197, 203, 214, 217, 223, 236, 254, 256, 257, 263, 274, 277, 283, 296, 314, 316, 317, 323, 334, 337, 343, 356, 374, 376, 377, 383, 394, 397, 403

Offset: 1

Author

Benoit Cloitre, Aug 07 2002

Keywords

• nonn
• base
• easy

Comments

Sequence contains numbers of form (14+60k), (16+60k), (17+60k), (23+60k), (24+60k), (34+60k), (37+60k), (43+60k), (56+60k), with k>=0.

Links

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

Crossrefs

Cf. A000045, A003893.

Programs

Mathematica

Select[Range[500],Last[IntegerDigits[Fibonacci[#]]]==7&] (* or *) LinearRecurrence[{1,0,0,0,0,0,0,1,-1},{14,16,17,23,34,37,43,56,74},60] (* Harvey P. Dale, Sep 12 2014 *)

Formula

G.f.: x*(4*x^8+13*x^7+6*x^6+3*x^5+11*x^4+6*x^3+x^2+2*x+14) / (x^9-x^8-x+1). - Colin Barker, Jun 16 2013