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A089883 Expansion of (1-4*x+6*x^2-3*x^3)/((1-3*x)*(1-2*x)*(1-3*x+x^2)). 2

%I #19 Jan 07 2019 14:24:24

%S 1,4,16,60,214,736,2464,8082,26092,83188,262582,822144,2557120,

%T 7910050,24357580,74720436,228485158,696795712,2120116768,6438264498,

%U 19518937516,59091592564,178675498006,539694923520,1628691435904,4911230068546,14799559211404

%N Expansion of (1-4*x+6*x^2-3*x^3)/((1-3*x)*(1-2*x)*(1-3*x+x^2)).

%C I did not study this paper carefully, but it appears that this g.f. might be wrong and the correct version should be that in A089932.

%H A. Burstein and T. Mansour, <a href="https://arxiv.org/abs/math/0112281">Words restricted by 3-letter generalized multipermutation patterns</a>, arXiv:math/0112281 [math.CO], 2001; Annals. Combin., 7 (2003), 1-14.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (8,-22,23,-6).

%t LinearRecurrence[{8, -22, 23, -6}, {1, 4, 16, 60}, 27] (* _Jean-François Alcover_, Jan 07 2019 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Jan 18 2004

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Last modified April 27 04:50 EDT 2024. Contains 372009 sequences. (Running on oeis4.)