A135619 Even Padovan numbers divided by 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

Author

Omar E. Pol, Feb 17 2008

Keywords

• nonn
• easy
• changed

Links

• G. C. Greubel, Table of n, a(n) for n = 1..1000
• Index entries for linear recurrences with constant coefficients, signature (0, 0, 7, 0, 0, 1, 0, 0, 1).

Crossrefs

Cf. A000931, A134720.

Programs

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 *)

Formula

a(n) = A134720(n)/2.

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

Extensions

More terms from Harvey P. Dale, May 11 2011