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A032100 "BHK" (reversible, identity, unlabeled) transform of 1,3,5,7... 1

%I

%S 1,3,8,18,54,152,472,1410,4310,12952,39144,117554,353590,1061208,

%T 3186488,9560866,28691286,86078168,258260680,774795090,2324463926,

%U 6973431064,20920529304,62761705922,188285826262,564857832984

%N "BHK" (reversible, identity, unlabeled) transform of 1,3,5,7...

%H Andrew Howroyd, <a href="/A032100/b032100.txt">Table of n, a(n) for n = 1..1000</a>

%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-4,-12,21,-9).

%F G.f.: x*(3*x^6-4*x^5+11*x^4+2*x^3-3*x^2-2*x+1)/((1-3*x)*(1-3*x^2)*(1-x)^2).

%F a(n) = 5*a(n-1) - 4*a(n-2) - 12*a(n-3) + 21*a(n-4) - 9*a(n-5) for n > 7. - _Andrew Howroyd_, Aug 31 2018

%o (PARI) Vec((1 - 2*x - 3*x^2 + 2*x^3 + 11*x^4 - 4*x^5 + 3*x^6)/((1 - 3*x)*(1 - 3*x^2)*(1 - x)^2) + O(x^40)) \\ _Andrew Howroyd_, Aug 31 2018

%K nonn

%O 1,2

%A _Christian G. Bower_

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Last modified April 10 06:54 EDT 2021. Contains 342843 sequences. (Running on oeis4.)