Search: id:A110613
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%I A110613
%S A110613 1,0,3,7,29,107,421,1659,6597,26299,105029,419771,1678405,6712251,
%T A110613 26846277,107379643,429507653,1718008763,6871991365,27487878075,
%U A110613 109951337541,439805000635,1759219303493,7036875815867,28147500467269
%N A110613 a(n+3) = 5*a(n+2) - 2*a(n+1) - 8*a(n), a(0) = 1, a(1) = 0, a(2) = 3.
%C A110613 A Jacobsthal related sequence (A001045). This sequence was calculated 
               using the same rules given for A108618; the "initial seed" is the 
               floretion given in the program code, below.
%F A110613 G.f. (1-5*x+5*x^2)/((4*x-1)*(2*x-1)*(x+1)); Program "Superseeker" finds: 
               a(n) + a(n+1) = A007582(n) = A007581(n+1) - A007581(n); a(n+2) - 
               a(n) = A049775(n); a(n) + 2*a(n+1) + a(n+2) = A087440(n+1);
%p A110613 seriestolist(series((1-5*x+5*x^2)/((4*x-1)*(2*x-1)*(x+1)), x=0,25)); 
               -or- Floretion Algebra Multiplication Program, FAMP Code: 2tessumseq[(.5'i 
               - .5'k - .5i' + .5k' - .5'ij' - .5'ji' - .5'jk' - .5'kj')('i + j' 
               + 'ij' + 'ji')] Sumtype is set to:sum[Y[15]] = sum(*) (from 3rd term, 
               disregarding signs)
%Y A110613 Cf. A001045, A007582, A007581, A049775, A087440, A108618, A110614.
%Y A110613 Sequence in context: A148766 A148767 A151358 this_sequence A088095 A141477 
               A082096
%Y A110613 Adjacent sequences: A110610 A110611 A110612 this_sequence A110614 A110615 
               A110616
%K A110613 easy,nonn
%O A110613 0,3
%A A110613 Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Jul 31 2005

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