Search: id:A104161
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%I A104161
%S A104161 0,1,2,5,10,19,34,59,100,167,276,453,740,1205,1958,3177,5150,8343,13510,
%T A104161 21871,35400,57291,92712,150025,242760,392809,635594,1028429,1664050,
%U A104161 2692507,4356586,7049123
%N A104161 G.f. x(-x^2+x-1)/((x-1)^2(x^2+x-1)).
%C A104161 A floretion-generated sequence.
%C A104161 A107909(a(n)) = A000975(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               May 28 2005
%H A104161 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%F A104161 Superseeker results (incomplete): a(+2) - 2a(n+1) + a(n) = A006355(n+1) 
               (Number of binary vectors of length n containing no singletons.); 
               a(n+1) - a(n) = A001595(n) (2-ranks of difference sets constructed 
               from Segre hyperovals); a(n) + n + 1 = A001595(n+1)
%F A104161 a(n) = 2(Fibonacci(n+2) - 1) - n. a(n) = Sum[A101220(n-k, 0, k), {k=0...n}]. 
               - Ross La Haye (rlahaye(AT)new.rr.com), Aug 03 2005
%F A104161 a(n) = a(n-1) + a(n-2) + n-1; a(n) = row sums of A117915, starting (1, 
               2, 5, 10...). - Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 02 2006
%F A104161 a(n) = Sum[A109754(n-k,k), {k,0,n}]. - Ross La Haye (rlahaye(AT)new.rr.com), 
               Apr 12 2006
%F A104161 a(n) = Sum[(n-k)Fibonacci(k-1) + Fibonacci(k),{k,0,n}] - n. - Ross La 
               Haye (rlahaye(AT)new.rr.com), May 31 2006
%F A104161 a(n) = -2-n+(-A094214)^n*(1-A010499/5)+(1+A010499/5)/A094214^n . a(n) 
               = A006355(n+3)-n-2 . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Apr 18 2008
%o A104161 Floretion Algebra Multiplication Program, FAMP Code: 1vesrokseq[ (- .25'i 
               - .25i' - .25'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' - .25e)('i 
               + i' + 'ji' + 'ki' + e) ] RokType: Y[sqa.Findk()] = Y[sqa.Findk()] 
               + p.
%Y A104161 Cf. A006355, A001595.
%Y A104161 Sequence in context: A132210 A000098 A024827 this_sequence A065613 A061705 
               A052944
%Y A104161 Adjacent sequences: A104158 A104159 A104160 this_sequence A104162 A104163 
               A104164
%K A104161 easy,nonn
%O A104161 0,3
%A A104161 Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Mar 10 2005

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