A134720 Even Padovan numbers.

0, 0, 0, 2, 2, 4, 12, 16, 28, 86, 114, 200, 616, 816, 1432, 4410, 5842, 10252, 31572, 41824, 73396, 226030, 299426, 525456, 1618192, 2143648, 3761840, 11584946, 15346786, 26931732, 82938844, 109870576, 192809420, 593775046, 786584466, 1380359512, 4250949112

Offset: 1

Author

Omar E. Pol, Nov 11 2007

Keywords

• easy
• nonn
• changed

Links

• Index entries for linear recurrences with constant coefficients, signature (0,0,7,0,0,1,0,0,1).

Crossrefs

Cf. A000931, A135619.

Programs

Mathematica

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, 2, 2, 4, 12, 16, 28},37] (* Ray Chandler, Mar 02 2024 *)

Formula

a(n) = 2 * A135619(n).

G.f.: -2*x^4*(x^4-x^3+2*x^2+x+1) / (x^9+x^6+7*x^3-1). - Colin Barker, Sep 17 2013

Extensions

More terms from Harvey P. Dale, May 11 2011