OFFSET
0,1
COMMENTS
Continued fraction expansion of A176102. - R. J. Mathar, Mar 08 2012
Also decimal expansion of 34/99. - Nicolas Bělohoubek, Nov 12 2021
LINKS
Matthew House, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (0,1).
FORMULA
G.f.: (3+4*x)/(1-x^2). - Jaume Oliver Lafont, Mar 20 2009
a(n) = floor((n+1)*7/2) - floor((n)*7/2). - Hailey R. Olafson, Jul 23 2014
a(n) = 3 + (n mod 2) = 4 - ((n+1) mod 2). - Wesley Ivan Hurt, Jul 24 2014
From Nicolas Bělohoubek, Nov 12 2021: (Start)
a(n) = 12/a(n-1). See also A010696.
a(n) = 7 - a(n-1). See also A010695. (End)
a(n) = (7-(-1)^n)/2. - Aaron J Grech, Jul 28 2024
MAPLE
MATHEMATICA
3 + Mod[Range[0, 100], 2] (* Wesley Ivan Hurt, Jul 24 2014 *)
PadRight[{}, 100, {3, 4}] (* Vincenzo Librandi, Aug 01 2015 *)
PROG
(PARI) a(n)=3+n%2 \\ Charles R Greathouse IV, Dec 21 2011
(Haskell)
a010702 = (+ 3) . (`mod` 2)
a010702_list = cycle [3, 4] -- Reinhard Zumkeller, Jul 05 2012
(Magma) [3 + (n mod 2) : n in [0..100]]; // Wesley Ivan Hurt, Jul 24 2014
(Magma) &cat[[3, 4]: n in [0..50]]; // Vincenzo Librandi, Aug 01 2015
(Python)
def A010702(n): return 3 + (n & 1) # Chai Wah Wu, May 25 2022
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved