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Search: id:A110311
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| A110311 |
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Expansion of 1/((x^2+5*x+1)*(x^2+x+1)). |
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+0
2
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| 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; listen)
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OFFSET
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0,2
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COMMENT
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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)
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FORMULA
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a(n+2) = - 5*a(n+1) - a(n) + ((-1)^n)*A109265(n+1)/2
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MAPLE
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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'
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CROSSREFS
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Cf. A004254, A110307, A110308, A110309, A110310.
Sequence in context: A026866 A045445 A026884 this_sequence A030221 A009153 A012325
Adjacent sequences: A110308 A110309 A110310 this_sequence A110312 A110313 A110314
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KEYWORD
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easy,sign
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Jul 19 2005
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