A010718 Periodic sequence: repeat [5, 7].
5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (0,1).
Programs
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Magma
&cat [[5, 7]^^50]; // Wesley Ivan Hurt, Dec 26 2016
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Maple
seq(op([5, 7]), n=0..100); # Wesley Ivan Hurt, Dec 26 2016
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Mathematica
(-1)^(Range[0, 100] + 1) + 6 (* Wesley Ivan Hurt, Dec 26 2016 *)
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PARI
for(n=0,20, print1((-1)^(n+1) + 6, ", ")) \\ G. C. Greubel, Dec 26 2016
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Python
def A010718(n): return 5 + 2*(n & 1) # Chai Wah Wu, May 25 2022
Formula
From Paolo P. Lava, Oct 20 2006: (Start)
a(n) = (-1)^(n+1) + 6.
(End)
From Vincenzo Librandi, Aug 01 2010: (Start)
a(n) = a(n-2) for n > 1, with a(0)=5, a(1)=7.
G.f.: (5+7*x)/((1-x)*(1+x)). (End)
Extensions
Definition rewritten by Bruno Berselli, Sep 29 2011
Comments