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

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A111641 Expansion of -(1+x+3*x^2+x^3)/((x^2+4*x+1)*(x^2-2*x-1)). 6
1, -5, 25, -107, 433, -1697, 6529, -24839, 93841, -352973, 1323961, -4957139, 18539041, -69282185, 258790465, -966364367, 3607837153, -13467809237, 50270219929, -187629535739, 700287673681, -2613617125553, 9754412512321, -36404592257879, 135865306871281 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

In reference to the program code, the sequence of Pell numbers A000126 is given by 1kbaseseq[C*J]. A001353 is 1ibaseiseq[C*J].

LINKS

Table of n, a(n) for n=0..24.

Index entries for linear recurrences with constant coefficients, signature (-6,-8,2,1).

MATHEMATICA

CoefficientList[Series[-(1+x+3x^2+x^3)/((x^2+4x+1)(x^2-2x-1)), {x, 0, 30}], x] (* or *) LinearRecurrence[{-6, -8, 2, 1}, {1, -5, 25, -107}, 30] (* Harvey P. Dale, Oct 12 2017 *)

PROG

Floretion Algebra Multiplication Program, FAMP Code: 1lestesseq[C*J] with C = - 'j + 'k - j' + k' - 'ii' - 'ij' - 'ik' - 'ji' - 'ki' and J = + j' + k' + 1.5'ii' + .5'jj' + .5'kk' + .5e

CROSSREFS

Cf. A111639, A111640, A111642, A111643, A111644, A000126.

Sequence in context: A067971 A266424 A224129 * A074419 A247105 A272249

Adjacent sequences:  A111638 A111639 A111640 * A111642 A111643 A111644

KEYWORD

easy,sign

AUTHOR

Creighton Dement, Aug 10 2005

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 November 19 01:43 EST 2017. Contains 294912 sequences.