OFFSET
1,1
LINKS
Andrew Howroyd, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (6,-4).
FORMULA
Empirical G.f.: x*(3-2*x)/(1-6*x+4*x^2). - Colin Barker, Feb 22 2012
From Andrew Howroyd, Oct 27 2020: (Start)
a(n) = 2^(n-1)*Fibonacci(2*n+2) = A084326(n+1)/2. (End)
EXAMPLE
From Andrew Howroyd, Oct 27 2020: (Start)
Some of the 2*a(2) = 32 arrays are:
0 0 0 0 0 0 0 1 0 1 0 0 0 1
0 0 0 1 1 1 1 0 1 0 1 1 1 0
1 1 1 1 1 1 1 1 0 1 0 0 1 1
(End)
MATHEMATICA
LinearRecurrence[{6, -4}, {3, 16}, 100] (* Jean-François Alcover, Nov 01 2020 *)
PROG
(PARI) Vec((3 - 2*x)/(1 - 6*x + 4*x^2) + O(x^30)) \\ Andrew Howroyd, Oct 27 2020
(PARI) a(n) = 2^(n-1)*fibonacci(2*n+2) \\ Andrew Howroyd, Oct 27 2020
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
R. H. Hardin, Mar 22 2002
EXTENSIONS
Terms a(21) and beyond from Andrew Howroyd, Oct 27 2020
STATUS
approved