A099212 - OEIS

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A099212

a(n) = -2*a(n-1) + 4*a(n-3), with a(0) = 1, a(1) = a(2) = 0.

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, -226492416, 356515840, -314572800, -276824064, 1979711488

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OFFSET

0,4

COMMENTS

Binomial transform is A099213.

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..1000

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

FORMULA

G.f.: (1 + 2*x)/(1 + 2*x - 4*x^3).

MATHEMATICA

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

CROSSREFS

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

EXTENSIONS

a(31) onwards from Andrew Howroyd, Mar 19 2025

STATUS

approved