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A110307 Expansion of (1+2*x)/((x^2+x+1)*(x^2+5*x+1)). 5
1, -4, 17, -80, 384, -1842, 8827, -42292, 202631, -970862, 4651680, -22287540, 106786021, -511642564, 2451426797, -11745491420, 56276030304, -269634660102, 1291897270207, -6189851690932, 29657361184451, -142096954231322, 680827409972160, -3262040095629480 (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) - A099837(n+1); Superseeker finds: a(n) + a(n+1) + a(n+2) = A002320(n).

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+2*x)/((x^2+x+1)*(x^2+5*x+1)), x=0, 25)); -or- Floretion Algebra Multiplication Program, FAMP Code: 1jbaseseq[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 + 2*x) / ((1 + x + x^2)*(1 + 5*x + x^2)) + O(x^25)) \\ Colin Barker, Apr 30 2019

CROSSREFS

Cf. A110308, A110309, A110310.

Sequence in context: A151249 A289924 A218134 * A206228 A089165 A056096

Adjacent sequences:  A110304 A110305 A110306 * A110308 A110309 A110310

KEYWORD

easy,sign

AUTHOR

Creighton Dement, Jul 19 2005

STATUS

approved

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Last modified October 18 23:39 EDT 2019. Contains 328211 sequences. (Running on oeis4.)