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A038225 Top line of 4-wave sequence A038197, also bisection of A006357. 0

%I #24 Mar 12 2024 08:01:15

%S 1,4,30,246,2037,16886,139997,1160693,9623140,79784098,661478734,

%T 5484227157,45468956106,376976720745,3125460977225,25912757426660,

%U 214839027697334,1781200165693270,14767680082482085,122436758775876478

%N Top line of 4-wave sequence A038197, also bisection of A006357.

%H Floor van Lamoen, <a href="https://web.archive.org/web/20171113001512/http://home.wxs.nl/~lamoen/wiskunde/wave.htm">Wave sequences</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (10,-15,7,-1).

%F Let v(4) = (1, 1, 1, 1), let M(4) be the 4 X 4 matrix m(i, j) = min(i, j); then a(n) = min(v(4)*M(4)^n). - _Benoit Cloitre_, Oct 03 2002

%F G.f.: ( 1-6*x+5*x^2-x^3 ) / ( (x-1)*(x^3-6*x^2+9*x-1) ). - _Wouter Meeussen_, Mar 19 2005

%o (PARI) k=4; M(k)=matrix(k,k,i,j,min(i,j)); v(k)=vector(k,i,1); a(n)=vecmin(v(k)*M(k)^n)

%Y Cf. A006357, A038197.

%K nonn,easy

%O 0,2

%A _Floor van Lamoen_

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Last modified September 18 21:47 EDT 2024. Contains 376002 sequences. (Running on oeis4.)