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A117110 Expansion of x*(1+5*x)/((1+2*x+1)*(1-4*x)). 0

%I #14 Jan 01 2024 11:42:14

%S 0,1,7,22,100,376,1552,6112,24640,98176,393472,1572352,6292480,

%T 25163776,100667392,402644992,1610629120,6442418176,25769869312,

%U 103079084032,412317122560,1649266917376,6597070815232,26388276969472

%N Expansion of x*(1+5*x)/((1+2*x+1)*(1-4*x)).

%F a(n) = 2*a(n-1) + 8*a(n-2) for n>=3; a(0)=0, a(1)=1, a(2)=7.

%F O.g.f.: x*(1+5*x)/((1+2*x+1)*(1-4*x)). - _R. J. Mathar_, Dec 05 2007

%p a[0]:=0: a[1]:=1: a[2]:=7: for n from 3 to 26 do a[n]:=2*a[n-1]+8*a[n-2] od: seq(a[n],n=0..26);

%K nonn,easy

%O 0,3

%A _Roger L. Bagula_, Apr 18 2006

%E Edited by _N. J. A. Sloane_, May 13 2006

%E New name using g.f. from _Joerg Arndt_, Jan 01 2024

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)