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

1,6

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).

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

Cf. A000931, A134720.

Sequence in context: A048133 A199697 A339976 * A067795 A212353 A029933

Adjacent sequences: A135616 A135617 A135618 * A135620 A135621 A135622

Keyword

nonn

Author

Omar E. Pol, Feb 17 2008

Extensions

More terms from Harvey P. Dale, May 11 2011

Status

approved