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

1,4

Links

Table of n, a(n) for n=1..37.

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

Formula

Empirical 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

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 *)

Crossrefs

Cf. A000931, A135619.

Sequence in context: A136718 A362709 A112362 * A019225 A002840 A355566

Adjacent sequences: A134717 A134718 A134719 * A134721 A134722 A134723

Keyword

easy,nonn

Author

Omar E. Pol, Nov 11 2007

Extensions

More terms from Harvey P. Dale, May 11 2011.

Status

approved