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!)
A110213 a(n+3) = 6*a(n) - 5*a(n+2), a(0) = 1, a(1) = -7, a(2) = 35. 4
1, -7, 35, -169, 803, -3805, 18011, -85237, 403355, -1908709, 9032123, -42740485, 202250171, -957058117, 4528847675, -21430737349, 101411338043, -479883604165, 2270833596731, -10745699955397, 50849198151995, -240620989179589, 1138630746165563, -5388058541915845 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (-5,0,6).

FORMULA

G.f. (-1+2*x)/((x-1)*(6*x^2+6*x+1))

a(x)=(3-Sqrt[3]+(7-8*Sqrt[3])(-3+Sqrt[3])^x+(-3-Sqrt[3])^x (-10+9*Sqrt[3]))/(13*(-3+Sqrt[3])). - Harvey P. Dale, Mar 01 2015

MAPLE

seriestolist(series((-1+2*x)/((x-1)*(6*x^2+6*x+1)), x=0, 25)); -or- Floretion Algebra Multiplication Program, FAMP Code: 2baseksumseq[A*B] with A = + 'i + 'ii' + 'ij' + 'ik' and B = + .5'i - .5'j + .5'k + .5i' + .5j' - .5k' - .5'ij' - .5'ik' + .5'ji' + .5'ki' Sumtype is set to: sum[(Y[0], Y[1], Y[2]), mod(3)

MATHEMATICA

LinearRecurrence[{-5, 0, 6}, {1, -7, 35}, 30] (* Harvey P. Dale, Mar 01 2015 *)

CROSSREFS

Cf. A110210, A110211, A110212.

Sequence in context: A291237 A037099 A055421 * A034348 A249793 A268990

Adjacent sequences:  A110210 A110211 A110212 * A110214 A110215 A110216

KEYWORD

easy,sign

AUTHOR

Creighton Dement, Jul 16 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 07:02 EST 2017. Contains 294915 sequences.