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

 

Logo

The October issue of the Notices of the Amer. Math. Soc. has an article about the OEIS.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A078013 Expansion of (1-x)/(1-x+x^3). 4
1, 0, 0, -1, -1, -1, 0, 1, 2, 2, 1, -1, -3, -4, -3, 0, 4, 7, 7, 3, -4, -11, -14, -10, 1, 15, 25, 24, 9, -16, -40, -49, -33, 7, 56, 89, 82, 26, -63, -145, -171, -108, 37, 208, 316, 279, 71, -245, -524, -595, -350, 174, 769, 1119, 945, 176, -943, -1888, -2064, -1121, 767, 2831, 3952, 3185, 354, -3598, -6783, -7137 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

LINKS

Table of n, a(n) for n=0..67.

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

FORMULA

a(n) = -A050935(n).

a(n+1)=a(n)-a(n-2), a(0)=1, a(1)=a(2)=0. - From Philippe Deléham, Nov 12 2011

G.f.: 1-x^3-x^4+x^6 +x^6/(G(0) - 1) where G(k) = 1 - x*(k+1)/(1 - x/(x - (k+1)/G(k+1) )); (recursively defined continued fraction). - Sergei N. Gladkovskii, Dec 17 2012

PROG

(PARI) Vec((1-x)/(1-x+x^3)+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012

CROSSREFS

Cf. A050935.

Sequence in context: A247917 A050935 A104769 * A086461 A047089 A122218

Adjacent sequences:  A078010 A078011 A078012 * A078014 A078015 A078016

KEYWORD

sign,easy

AUTHOR

N. J. A. Sloane, Nov 17 2002

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 25 22:57 EDT 2018. Contains 315425 sequences. (Running on oeis4.)