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%I #3 Jan 26 2014 15:37:05
%S -1,5,-25,119,-565,2675,-12661,59915,-283525,1341659,-6348805,
%T 30042875,-142164421,672729275,-3183389125,15063959099,-71283419845,
%U 337316764475,-1596200067781,7553299819835,-35742598512325,169135792154939,-800359161855685,3787340218204475
%N a(n+3) = 6*a(n) - 5*a(n+2), a(0) = -1, a(1) = 5, a(2) = -25.
%C Superseeker finds: a(n+1) - a(n) = ((-1)^n)*A030192(n+1) (Scaled Chebyshev U-polynomial evaluated at sqrt(6)/2)
%F G.f. 1/((x-1)*(6*x^2+6*x+1)
%p eriestolist(series(1/((x-1)*(6*x^2+6*x+1)), x=0,25)); -or- Floretion Algebra Multiplication Program, FAMP Code: 2basejsumseq[A*B] with A = + 'i + 'ii' + 'ij' + 'ik' and B = + .5'i - .5'j + .5'k + .5i' + .5j' - .5k' - .5'ij' - .5'ik' + .5'ji' + .5'ki' Sumtype is set to: sum[(Y[0], Y[1], Y[2]),mod(3)
%Y Cf. A030192, A110210, A110211, A110213.
%K easy,sign
%O 0,2
%A _Creighton Dement_, Jul 16 2005
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