A173435 Inverse binomial transform of A143025, assuming offset zero there.

8, -6, 12, -25, 52, -106, 212, -420, 832, -1656, 3312, -6640, 13312, -26656, 53312, -106560, 212992, -425856, 851712, -1703680, 3407872, -6816256, 13632512, -27264000, 54525952, -109049856, 218099712, -436203520, 872415232, -1744838656, 3489677312, -6979338240

Offset

0,1

Comments

Inverse binomial transform of 8, 2, 8, 1, 8, 2, 8, 1,... with a(0)=8, a(1)=2 etc.

Links

Table of n, a(n) for n=0..31.

Index entries for linear recurrences with constant coefficients, signature (-4,-6,-4).

Formula

From R. J. Mathar, Mar 10 2010: (Start)

a(n) = -4*a(n-1) - 6*a(n-2) - 4*a(n-3), n>3.

G.f.: (26*x+36*x^2+19*x^3+8)/((2*x+1)*(2*x^2+2*x+1)). (End)

a(n+1) + 2*a(n) = (-1)^(n+1)*A009545(n-1), n > 0.

Mathematica

Join[{8}, LinearRecurrence[{-4, -6, -4}, {-6, 12, -25}, 40]] (* Harvey P. Dale, Sep 25 2013 *)

Crossrefs

Cf. A009545, A143025.

Sequence in context: A034085 A303316 A340518 * A184728 A119876 A281718

Adjacent sequences: A173432 A173433 A173434 * A173436 A173437 A173438

Keyword

sign,easy

Author

Paul Curtz, Feb 18 2010

Extensions

Extended by R. J. Mathar, Mar 10 2010

Status

approved