Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #16 Mar 15 2024 14:24:54
%S 1,-1,3,-6,7,-9,10,-11,13,-16,17,-19,22,-23,25,-26,27,-29,32,-33,35,
%T -38,39,-41,42,-43,45,-48,49,-51,54,-55,57,-58,59,-61,64,-65,67,-70,
%U 71,-73,74,-75,77,-80,81,-83,86,-87,89,-90,91,-93,96,-97,99,-102,103,-105,106,-107,109,-112,113,-115,118,-119,121,-122
%N G.f. (x-1)*(x^2+1)*(x^7-x^6+x^4+x^3-2*x^2-x-1)/((x^2-x+1)*(x^6-x^3+1)*(x+1)^2).
%C Floretion Algebra Multiplication Program, FAMP Code: 4jbasesumseq[A*B+B*A] with A = + .25'i + .25i' + .25'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' + .25e and B = + .5'i - .5'k - .5'jj' - .5'ji' - .5'jk' + .5e
%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (-1,0,0,0,0,0,0,0,-1,-1).
%t CoefficientList[Series[(x-1)(x^2+1)(x^7-x^6+x^4+x^3-2x^2-x-1)/((x^2-x+ 1) (x^6-x^3+1)(x+1)^2),{x,0,80}],x] (* or *) Join[{1},LinearRecurrence[ {-1,0,0,0,0,0,0,0,-1,-1},{-1,3,-6,7,-9,10,-11,13,-16,17},80]] (* _Harvey P. Dale_, Apr 17 2014 *)
%K sign,easy
%O 0,3
%A _Creighton Dement_, Jun 02 2005