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A110309 Expansion of (1+3*x+x^2)/((x^2+5*x+1)*(x^2+x+1)). 4
1, -3, 12, -57, 275, -1320, 6325, -30303, 145188, -695637, 3332999, -15969360, 76513801, -366599643, 1756484412, -8415822417, 40322627675, -193197315960, 925663952125, -4435122444663, 21249948271188, -101814618911277, 487823146285199, -2337301112514720 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..23.

FORMULA

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

MAPLE

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

CROSSREFS

Cf. A110307, A110308, A110310.

Sequence in context: A192525 A106570 A027140 * A263667 A101106 A165310

Adjacent sequences:  A110306 A110307 A110308 * A110310 A110311 A110312

KEYWORD

easy,sign

AUTHOR

Creighton Dement, Jul 19 2005

STATUS

approved

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Last modified March 24 02:10 EDT 2017. Contains 283984 sequences.