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A110310
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Expansion of (1-x+x^2)/((x^2+x+1)*(x^2+5*x+1)).
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5
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1, -7, 36, -173, 827, -3960, 18973, -90907, 435564, -2086913, 9998999, -47908080, 229541401, -1099798927, 5269453236, -25247467253, 120967883027, -579591947880, 2776991856373, -13305367333987, 63749844813564, -305443856733833, 1463469438855599, -7011903337544160
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OFFSET
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0,2
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LINKS
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Colin Barker, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (-6,-7,-6,-1).
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FORMULA
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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
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MAPLE
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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'
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PROG
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(PARI) Vec((1 - x + x^2) / ((1 + x + x^2)*(1 + 5*x + x^2)) + O(x^25)) \\ Colin Barker, Apr 30 2019
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CROSSREFS
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Cf. A110307, A110308, A110309, A110311.
Sequence in context: A102053 A058681 A246417 * A054493 A037538 A037482
Adjacent sequences: A110307 A110308 A110309 * A110311 A110312 A110313
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KEYWORD
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easy,sign
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AUTHOR
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Creighton Dement, Jul 19 2005
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STATUS
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approved
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