OFFSET
0,1
LINKS
Colin Barker, Table of n, a(n) for n = 0..500
Index entries for linear recurrences with constant coefficients, signature (48,-48,1).
FORMULA
G.f.: ( -4-11*x ) / ( (x-1)*(x^2-47*x+1) ). - R. J. Mathar, Oct 26 2015
a(n) = (-1+((94+42*sqrt(5))^(-n)*(4^n*(1+sqrt(5))+2*(47+21*sqrt(5))^(2*n)*(682+305*sqrt(5))))/(105+47*sqrt(5)))/3. - Colin Barker, Mar 06 2016
a(n) = 47*a(n-1)-a(n-2)+15. - Vincenzo Librandi, Mar 06 2016
MATHEMATICA
(Fibonacci[8Range[0, 20]+7]-1)/3 (* Harvey P. Dale, Sep 21 2011 *)
RecurrenceTable[{a[0] == 4, a[1] == 203, a[n] == 47 a[n-1] - a[n-2] + 15}, a, {n, 30}] (* Vincenzo Librandi, Mar 06 2016 *)
PROG
(PARI) Vec((-4-11*x)/((x-1)*(x^2-47*x+1)) + O(x^25)) \\ Colin Barker, Mar 06 2016
(Magma) I:=[4, 203]; [n le 2 select I[n] else 47*Self(n-1)-Self(n-2)+15: n in [1..30]]; // Vincenzo Librandi, Mar 06 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved