OFFSET
0,2
COMMENTS
Binomial transform is A085287.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (0,4).
FORMULA
a(n) = (-10*0^n - 3*(-2)^n + 21*2^n)/8.
a(n) = 4*a(n-2), n > 1. - Harvey P. Dale, Nov 05 2011
E.g.f.: (9*cosh(2*x) + 12*sinh(2*x) - 5)/4. - Stefano Spezia, Sep 20 2023
MATHEMATICA
CoefficientList[Series[(1+6x+5x^2)/((1-2x)(1+2x)), {x, 0, 30}], x] (* or *) Join[{1}, Flatten[NestList[4#&, {6, 9}, 15]]] (* Harvey P. Dale, Nov 05 2011 *)
PROG
(Magma) [(-10*0^n-3*(-2)^n+21*2^n)/8: n in [0..30]]; // Vincenzo Librandi, Nov 16 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Paul Barry, Jun 26 2003
STATUS
approved