OFFSET
0,2
COMMENTS
Sequence is identical to its shifted third differences.
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
Denis Neiter and Amsha Proag, Links Between Sums Over Paths in Bernoulli's Triangles and the Fibonacci Numbers, Journal of Integer Sequences, Vol. 19 (2016), Article 16.8.3.
Index entries for linear recurrences with constant coefficients, signature (3,-3,1,1).
FORMULA
G.f.: (1-x+x^2+x^3) / (1-3*x+3*x^2-x^3-x^4). - Colin Barker, Oct 18 2016
MATHEMATICA
LinearRecurrence[{3, -3, 1, 1}, {1, 2, 4, 8}, 14] (* Ray Chandler, Sep 23 2015 *)
PROG
(PARI) Vec((1-x+x^2+x^3)/(1-3*x+3*x^2-x^3-x^4) + O(x^50)) \\ Colin Barker, Oct 18 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Paul Curtz, May 15 2008
STATUS
approved