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A110311 Expansion of 1 / ((x^2+5*x+1)*(x^2+x+1)). 2
1, -6, 29, -138, 660, -3162, 15151, -72594, 347819, -1666500, 7984680, -38256900, 183299821, -878242206, 4207911209, -20161313838, 96598657980, -462831976062, 2217561222331, -10624974135594, 50907309455639, -243911573142600, 1168650556257360, -5599341208144200 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

In reference to the program code, A004254(n+1) = 1ibaseiseq[A*B](n). Superseeker finds: a(n) + a(n+1) + a(n+2) = ((-1)^n)*A004254(n+3).

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+1)/2.

a(n) = -6*a(n-1) - 7*a(n-2) - 6*a(n-3) - a(n-4) for n>3. - Colin Barker, May 14 2019

MAPLE

seriestolist(series(1/((x^2+5*x+1)*(x^2+x+1)), x=0, 25)); -or- Floretion Algebra Multiplication Program, FAMP Code: 1jbasejseq[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 / ((1 + x + x^2)*(1 + 5*x + x^2)) + O(x^25)) \\ Colin Barker, May 14 2019

CROSSREFS

Cf. A004254, A110307, A110308, A110309, A110310.

Sequence in context: A045445 A026884 A289801 * A030221 A271753 A009153

Adjacent sequences:  A110308 A110309 A110310 * A110312 A110313 A110314

KEYWORD

easy,sign

AUTHOR

Creighton Dement, Jul 19 2005

STATUS

approved

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Last modified September 21 15:53 EDT 2019. Contains 327270 sequences. (Running on oeis4.)