login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A144476 Four interlaced copies of A117373. 0
1, 1, -1, 3, -2, -2, 2, 1, -3, -3, 3, -2, -1, -1, 1, -3, 2, 2, -2, -1, 3, 3, -3, 2, 1, 1, -1, 3, -2, -2, 2, 1, -3, -3, 3, -2, -1, -1, 1, -3, 2, 2, -2, -1, 3, 3, -3, 2, 1, 1, -1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..51.

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

FORMULA

a(n)=a(n-4)-a(n-8). a(4n+1)=a(4n+2)=A117373(n). a(4n+3)=A117373(n+3). a(4n+4)=A117373(n+5). [From R. J. Mathar, Dec 08 2008]

G.f.: -x*(2*x^7-3*x^6+3*x^5+3*x^4-3*x^3+x^2-x-1) / (x^8-x^4+1). - Colin Barker, Apr 11 2013

MATHEMATICA

Clear[M, v, n, a] M[0] = {{0, -1}, {1, 1}}; M[1] = {{1, 0}, {1, 1}}; M[2] = {{-1, 0}, {1, 1}}; M[3] = {{0, 1}, {1, 1}}; v[0] = {1, 1}; v[n_] := v[n] = M[Mod[n, 4]].v[n - 1]; a = Table[v[n][[1]], {n, 0, 50}]

CROSSREFS

Sequence in context: A328389 A332789 A329335 * A155677 A075791 A262626

Adjacent sequences:  A144473 A144474 A144475 * A144477 A144478 A144479

KEYWORD

sign,easy

AUTHOR

Roger L. Bagula and Gary W. Adamson, Oct 10 2008

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 24 12:47 EDT 2021. Contains 346273 sequences. (Running on oeis4.)