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Expansion of g.f. (1-x-2*x^2-x^3+x^4)/((x-1)^3*(6*x^2+2*x-1)).
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%I #16 Mar 14 2024 15:21:07

%S 1,4,15,51,183,655,2381,8653,31539,114927,419001,1527457,5568791,

%T 20302171,74016909,269846637,983794491,3586668535,13076103713,

%U 47672218297,173801058495,633635426355,2310077203221,8421966964069

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

%C The definition of this sequence given in the program code is, without a doubt, involved. This is in contrast to its "relatively simple" generating function (which came as a small surprise). At least in principle, it is certainly possible that a simpler definition involving floretions can be found.

%C Floretion Algebra Multiplication Program, FAMP Code: Fortype: Type 1A Roktype: (left factor): Y[sqa.Findk()] = Y[sqa.Findk()] - Math.signum(Y[sqa.Findk()])*p (internal program code) Roktype (right factor): Do nothing. Fiztype: ChuRed (a(n)) = jessigforcycfizholrok(infty)-1jessigforcycfizholrokseq[(.5'j + .5j' + e)(- .5'i + .5'j - .5i' + .5j' - 'kk' - .5'ik' - .5'jk' - .5'ki' - .5'kj')]

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-3,-11,16,-6).

%K nonn,easy

%O 0,2

%A _Creighton Dement_, May 20 2005