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A135619
Even Padovan numbers divided by 2.
2
0, 0, 0, 1, 1, 2, 6, 8, 14, 43, 57, 100, 308, 408, 716, 2205, 2921, 5126, 15786, 20912, 36698, 113015, 149713, 262728, 809096, 1071824, 1880920, 5792473, 7673393, 13465866, 41469422, 54935288, 96404710, 296887523, 393292233, 690179756, 2125474556, 2815654312
OFFSET
1,6
LINKS
FORMULA
a(n) = A134720(n)/2.
Empirical g.f.: -x^4*(x^4-x^3+2*x^2+x+1) / (x^9+x^6+7*x^3-1). - Colin Barker, Sep 18 2013
MATHEMATICA
#/2&/@Select[Join[{0, 0, 0}, LinearRecurrence[{0, 1, 1}, {1, 1, 1}, 100]], EvenQ] (* Harvey P. Dale, May 11 2011 *)
LinearRecurrence[{0, 0, 7, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 2, 6, 8, 14}, 40] (* Ray Chandler, Mar 03 2024 *)
CROSSREFS
Sequence in context: A048133 A199697 A339976 * A067795 A212353 A029933
KEYWORD
nonn
AUTHOR
Omar E. Pol, Feb 17 2008
EXTENSIONS
More terms from Harvey P. Dale, May 11 2011
STATUS
approved