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A110212 a(n+3) = 6*a(n) - 5*a(n+2), a(0) = -1, a(1) = 5, a(2) = -25. 3

%I

%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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Last modified September 16 18:26 EDT 2021. Contains 347473 sequences. (Running on oeis4.)