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%I #24 Oct 25 2021 08:28:55
%S 1,19,273,3515,42761,503139,5796673,65860555,741243321,8287894259,
%T 92240578673,1023236299995,11324318776681,125117262357379,
%U 1380687932442273,15222751628953835,167731742895202841
%N Expansion of 1/((1-8x)(1-11x)).
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (19,-88).
%F a(n) = (11^(n+1) - 8^(n+1))/3. - Lambert Klasen (lambert.klasen(AT)gmx.net), Feb 05 2005
%F a(n) = 11*a(n-1) + 8^n, a(0)=1. - _Vincenzo Librandi_, Feb 09 2011
%F a(n) = 19*a(n-1) - 88*a(n-2), a(0)=1, a(1)=19. - _Vincenzo Librandi_, Feb 09 2011
%t Join[{a=1,b=19},Table[c=19*b-88*a;a=b;b=c,{n,40}]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 14 2011 *)
%o (PARI) for(n=1,10,print1((11^n-8^n)/3,","))
%o (PARI) MM(n, N) = local(M); M=matrix(n,n);for(i=1,n, for(j=1,n,if(i==j,M[i,j]=N,M[i,j]=1)));M
%o for(i=1,10,print1((MM(3,9)^i)[1,2],","))
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
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