[go: up one dir, main page]

login
A048577
Pisot sequence L(3,4).
5
3, 4, 6, 9, 14, 22, 35, 56, 90, 145, 234, 378, 611, 988, 1598, 2585, 4182, 6766, 10947, 17712, 28658, 46369, 75026, 121394, 196419, 317812, 514230, 832041, 1346270, 2178310, 3524579, 5702888, 9227466, 14930353, 24157818, 39088170, 63245987, 102334156, 165580142
OFFSET
0,1
LINKS
FORMULA
a(n) = Fib(n+3)+1. a(n) = 2a(n-1) - a(n-3).
a(n) = A020706(n-1), n>0. [From R. J. Mathar, Oct 15 2008]
G.f.: (3-2*x-2*x^2)/((1-x)*(1-x-x^2)). [Colin Barker, Apr 16 2012]
MATHEMATICA
CoefficientList[Series[(3-2*x-2*x^2)/((1-x)*(1-x-x^2)), {x, 0, 40}], x] (* Vincenzo Librandi, Apr 27 2012 *)
PROG
(PARI) a(n)=fibonacci(n+3)+1 \\ Charles R Greathouse IV, Apr 16 2012
(Magma) [Fibonacci(n+3)+1: n in [0..40]]; // Vincenzo Librandi, Apr 27 2012
CROSSREFS
Subsequence of A001611. See A008776 for definitions of Pisot sequences.
Sequence in context: A030712 A025000 A147790 * A107340 A326655 A291866
KEYWORD
nonn,easy
STATUS
approved