A099212 a(n)=-2a(n-1)+4a(n-3).

1, 0, 0, 4, -8, 16, -16, 0, 64, -192, 384, -512, 256, 1024, -4096, 9216, -14336, 12288, 12288, -81920, 212992, -376832, 425984, 0, -1507328, 4718592, -9437184, 12845056, -6815744, -24117248, 99614720

Offset

0,4

Comments

Binomial transform is A099213.

Links

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (-2,0,4).

Formula

G.f.: (1+2x)/(1+2x-4x^3); a(n)=-2a(n-1)+4a(n-3).

Mathematica

LinearRecurrence[{-2, 0, 4}, {1, 0, 0}, 40] (* Harvey P. Dale, May 02 2019 *)

Crossrefs

Cf. A099211.

Sequence in context: A312756 A312757 A312758 * A045534 A194433 A221565

Adjacent sequences: A099209 A099210 A099211 * A099213 A099214 A099215

Keyword

easy,sign

Author

Paul Barry, Oct 06 2004

Status

approved