A134813 a(n) = b(n+1)-2b(n) where b() is A134812.

1, -3, 3, 0, -6, 12, -12, 0, 24, -48, 48, 0, -96, 192, -192, 0, 384, -768, 768, 0, -1536, 3072, -3072, 0, 6144, -12288, 12288, 0, -24576, 49152, -49152, 0, 98304, -196608, 196608, 0, -393216, 786432, -786432, 0, 1572864, -3145728, 3145728, 0, -6291456

Offset

0,2

Links

Table of n, a(n) for n=0..44.

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

Formula

G.f. 1 -3*x*(1+x) / ( 1+2*x+2*x^2 ). - R. J. Mathar, Aug 11 2012

a(n) = -3*A009116(n-1), n>0. - R. J. Mathar, Aug 11 2012

Mathematica

LinearRecurrence[{-2, -2}, {1, -3, 3}, 50] (* Harvey P. Dale, Mar 22 2018 *)

Prog

(PARI) a(n)=if(n, ([0, 1; -2, -2]^(n-1)*[-3; 3])[1, 1], 1) \\ Charles R Greathouse IV, May 29 2026

Crossrefs

Cf. A003945, A134812, A009116.

Sequence in context: A117234 A122831 A019701 * A338037 A377147 A164107

Adjacent sequences: A134810 A134811 A134812 * A134814 A134815 A134816

Keyword

sign,easy

Author

Paul Curtz, Jan 28 2008

Extensions

More terms from Harvey P. Dale, Mar 22 2018

Status

approved