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A072709
Integers m such that the last digit of Fibonacci(m) is 7.
1
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
1,1
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.
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
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 *)
CROSSREFS
Sequence in context: A043663 A043703 A174214 * A241178 A158282 A053425
KEYWORD
nonn,base,easy
AUTHOR
Benoit Cloitre, Aug 07 2002
STATUS
approved