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

 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 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.

Last modified May 8 17:26 EDT 2021. Contains 343666 sequences. (Running on oeis4.)