Search: id:A109437
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%I A109437
%S A109437 0,1,3,12,44,165,615,2296,8568,31977,119339,445380,1662180,6203341,
%T A109437 23151183,86401392,322454384,1203416145,4491210195,16761424636,
%U A109437 62554488348,233456528757,871271626679,3251629977960,12135248285160
%N A109437 a(n) = 5a(n-1) - 5a(n-2) + a(n-3) + 2*(-1)^(n+1), alternatively a(n) 
               = 3a(n-1) + 3a(n-2) - a(n-3).
%C A109437 See A105968 for a similar sequence. Observe the four periodic sequences 
               (1,1,1,1,); (-1,-1,-1,-1); (1,-1,1,-1,); (-1,1,-1,1,); (a(n)) is 
               the (Type 1A) jbasejfor-transform of the periodic sequence (1,1,1,
               1) with respect to the floretion given in the program code. A109438 
               is the (Type 1A) jbasejfor-transform of the periodic sequence (-1,
               -1,-1,-1) with respect to the floretion given in the program code. 
               A001834 is the (Type 1A) jbasejfor-transform of the periodic sequence 
               (1,-1,1,-1) with respect to the floretion given in the program code. 
               A102871 is the (Type 1A) jbasejfor-transform of the periodic sequence 
               (-1,1,-1,1) with respect to the floretion given in the program code.
%F A109437 G.f. x/((x+1)(x^2-4x+1))
%F A109437 Equals A002530(n)*A002530(n+1). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Feb 08 2007
%p A109437 with(numtheory):a := cfrac (tan(Pi/3),60): > b := cfrac (tan(Pi/6),60): 
               > seq(nthnumer (b,i)*nthdenom (a,i), i=0..24 ); - Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Feb 08 2007
%o A109437 Floretion Algebra Multiplication Program, FAMP Code: (-1)^(n+1)jbasejfor[ 
               + .5'ii' + .5'kk' + .5'ij' + .5'ji' + .5'jk' + .5'kj'] 1vesfor = 
               (1,1,1,1,)
%Y A109437 Cf. A109438, A001834, A102871.
%Y A109437 Cf. A002530.
%Y A109437 Sequence in context: A066987 A012873 A167477 this_sequence A005656 A064017 
               A005320
%Y A109437 Adjacent sequences: A109434 A109435 A109436 this_sequence A109438 A109439 
               A109440
%K A109437 nonn
%O A109437 0,3
%A A109437 Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Jun 28 2005

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