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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A110310 Expansion of (1-x+x^2)/((x^2+x+1)*(x^2+5*x+1)). 5
1, -7, 36, -173, 827, -3960, 18973, -90907, 435564, -2086913, 9998999, -47908080, 229541401, -1099798927, 5269453236, -25247467253, 120967883027, -579591947880, 2776991856373, -13305367333987, 63749844813564, -305443856733833, 1463469438855599, -7011903337544160 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (-6,-7,-6,-1).

FORMULA

a(n+2) = - 5*a(n+1) - a(n) - ((-1)^n)*A109265(n+3).

a(n) = -6*a(n-1) - 7*a(n-2) - 6*a(n-3) - a(n-4) for n>3. - Colin Barker, Apr 30 2019

MAPLE

seriestolist(series((1-x+x^2)/((x^2+x+1)*(x^2+5*x+1)), x=0, 25)); -or- Floretion Algebra Multiplication Program, FAMP Code: 1basejseq[A*B] with A = - 'j + 'k - j' + k' - 'ii' - 'ij' - 'ik' - 'ji' - 'ki' and B = + .5'i + .5'ii' + .5'ij' + .5'ik'

PROG

(PARI) Vec((1 - x + x^2) / ((1 + x + x^2)*(1 + 5*x + x^2)) + O(x^25)) \\ Colin Barker, Apr 30 2019

CROSSREFS

Cf. A110307, A110308, A110309, A110311.

Sequence in context: A102053 A058681 A246417 * A054493 A037538 A037482

Adjacent sequences:  A110307 A110308 A110309 * A110311 A110312 A110313

KEYWORD

easy,sign

AUTHOR

Creighton Dement, Jul 19 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 23 05:06 EDT 2019. Contains 327327 sequences. (Running on oeis4.)