OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..2000
Index entries for linear recurrences with constant coefficients, signature (5,-6,0,1,-5,6).
FORMULA
G.f.: (1-3*x+2*x^2-3*x^3+2*x^4-x^5)/(1-5*x+6*x^2-x^4+5*x^5-6*x^6) = (1-3*x+2*x^2-3*x^3+2*x^4-x^5)/((1-2*x)*(1-3*x)*(1-x^4)).
Recurrence: a(n+6) = 5*a(n+5)-6*a(n+4)+a(n+2)-5*a(n+1)+6*a(n).
a(n) = (8*3^n+12*2^n-(1-(-1)^n)*(5+i^(n+1)))/20, where i=sqrt(-1). - Bruno Berselli, Sep 05 2011
PROG
(Maxima) makelist(floor((2*3^n+3*2^n)/5), n, 0, 12);
(Magma) [Floor((2*3^n+3*2^n)/5): n in [0..30]]; // Vincenzo Librandi, Sep 06 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Emanuele Munarini, Dec 30 2010
STATUS
approved