OFFSET
0,5
LINKS
Index entries for linear recurrences with constant coefficients, signature (4, -4, 1, 0, 0, -1, 4, -4, 1).
FORMULA
a(n) = ( A000045(2n+1)-A154811(n) )/9 = floor(A122367(n)/9) = floor(A001519(n+1)/9) = floor( |A099496(n)|/9).
a(n)=3a(n-1)-a(n-2)+|A112690(n+10)|, i.e., a(n)-3a(n-1)+a(n-2) is a sequence of period 12 containing 0's and 1's. - R. J. Mathar, Feb 23 2009
G.f.: (1-x+x^2)/((1-x)(1+x^2)(1-3x+x^2)(1-x^2+x^4)). - R. J. Mathar, Feb 23 2009
MATHEMATICA
Floor[Fibonacci[2*Range[0, 30]+1]/9] (* or *) LinearRecurrence[{4, -4, 1, 0, 0, -1, 4, -4, 1}, {0, 0, 0, 1, 3, 9, 25, 67, 177}, 31] (* Harvey P. Dale, Jun 06 2016 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul Curtz, Feb 10 2009
EXTENSIONS
Edited and extended by R. J. Mathar, Jan 23 2009, Feb 23 2009
STATUS
approved