login
A199208
a(n) = 9*4^n+1.
1
10, 37, 145, 577, 2305, 9217, 36865, 147457, 589825, 2359297, 9437185, 37748737, 150994945, 603979777, 2415919105, 9663676417, 38654705665, 154618822657, 618475290625, 2473901162497, 9895604649985, 39582418599937
OFFSET
0,1
FORMULA
a(n) = 4*a(n-1)-3.
a(n) = 5*a(n-1)-4*a(n-2).
G.f.: (10-13*x)/((1-x)*(1-4*x)). - Bruno Berselli, Nov 04 2011
MATHEMATICA
NestList[4#-3&, 10, 30] (* or *) LinearRecurrence[{5, -4}, {10, 37}, 30] (* Harvey P. Dale, Sep 28 2023 *)
PROG
(Magma) [9*4^n+1: n in [0..30]];
CROSSREFS
Sequence in context: A116970 A355044 A373577 * A110528 A208674 A137280
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Nov 04 2011
STATUS
approved