OFFSET
0,6
COMMENTS
LINKS
Index entries for linear recurrences with constant coefficients, signature (1,4,-3,-3,1).
FORMULA
G.f.: x*(-1 + x + 4*x^2 -3*x^3)/(1-x-4*x^2+3*x^3+3*x^4-x^5).
a(n) = a(n-1) + 4*a(n-2) - 3*a(n-3) - 3*a(n-4) + a(n-5) for n >= 5, with a(0)=0, a(1)=-1, a(2)=a(3)=a(4)=0.
a(n) = -b(n-1) + b(n-2) + 4*b(n-3) - 3*b(n-4) for n>=0, with b(n) = A231181(n).
EXAMPLE
rho(11)^5 = 1*1 - 3*rho(11) - 3*rho(11)^2 + 4*rho(11)^3 + 1*rho(11)^4. Approximately 26.02309649, with rho(11) approximately 1.918985947.
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Wolfdieter Lang, Nov 07 2013
STATUS
approved