login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A112713 Expansion of x/(1 - x + x^5 - x^6). 4
0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

A transformation of the Fibonacci numbers: a(n) = A112712(n) mod 2.

LINKS

Table of n, a(n) for n=0..89.

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

FORMULA

G.f.: x/(1 - x + x^5 - x^6).

a(n) = a(n-1) - a(n-5) + a(n-6).

a(n) = a(n-10).

a(n) = (Sum_{k=0..floor((n+2)/2)} (-1)^(k+1)*C(n-k+2, k-1)*F(n-2*k+2)) mod 2.

MATHEMATICA

CoefficientList[Series[x/(1 - x + x^5 - x^6), {x, 0, 100}], x] (* or *) LinearRecurrence[{1, 0, 0, 0, -1, 1}, {0, 1, 1, 1, 1, 1}, 100] (* Harvey P. Dale, Feb 16 2014 *)

CROSSREFS

Cf. A000035, A133872, A088911, A131078.

Sequence in context: A011558 A276398 A204549 * A143536 A204437 A080110

Adjacent sequences:  A112710 A112711 A112712 * A112714 A112715 A112716

KEYWORD

nonn,easy

AUTHOR

Paul Barry, Sep 15 2005

EXTENSIONS

Incorrect g.f. removed by Georg Fischer, May 15 2019

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 September 19 23:31 EDT 2019. Contains 327207 sequences. (Running on oeis4.)