OFFSET
0,5
LINKS
Index entries for linear recurrences with constant coefficients, signature (1,0,1,0,1,1).
FORMULA
a(0)=a(1)=0. a(n+2)=a(n+1)+a(n) + A134667(n+1).
a(n+1)/a(n) tends to A001622 (the golden ratio) as n->infinity.
a(n+6) - a(n-6) = 10*A000045(n).
a(n+3) - a(n-3) = A000032(n).
a(n) = a(n-1) +a(n-3) +a(n-5) +a(n-6). - Joerg Arndt, Jun 30 2013
MATHEMATICA
CoefficientList[Series[x^2(1+x^2)/((x^2-x+1)(-x^2-x+1)(1+x+x^2)), {x, 0, 50}], x] (* or *) LinearRecurrence[{1, 0, 1, 0, 1, 1}, {0, 0, 1, 1, 2, 3}, 50] (* Harvey P. Dale, Oct 16 2018 *)
CROSSREFS
KEYWORD
nonn,less,easy
AUTHOR
Paul Curtz, Jun 29 2013
STATUS
approved