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A110225
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Expansion of (-1+3*x+2*x^2-8*x^3+3*x^5-2*x^6-2*x^7+x^8) / ((x-1)*(x+1)*(x^2-2*x-1)*(x^2+2*x-1)).
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1
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1, -3, 5, -13, 28, -73, 164, -421, 956, -2449, 5572, -14269, 32476, -83161, 189284, -484693, 1103228, -2824993, 6430084, -16465261, 37477276, -95966569, 218433572, -559334149, 1273124156, -3260038321, 7420311364, -19000895773, 43248744028, -110745336313
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OFFSET
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0,2
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COMMENTS
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Floretion Algebra Multiplication Program, FAMP Code: 4baseksigcycsumseq[A*B] with A = + 'i + .5'ii' + .5'jj' + .5'kk' + .5e and B = - .25'j + .25'k - .25j' + .25k' - .5'ii' - .25'ij' - .25'ik' - .25'ji' - .25'ki' - .5e; sumtype: (Y[15], *, sum/2)
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LINKS
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FORMULA
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a(n) = 7*a(n-2) - 7*a(n-4) + a(n-6) for n>8. - Colin Barker, May 16 2019
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PROG
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(PARI) Vec((1 - 3*x - 2*x^2 + 8*x^3 - 3*x^5 + 2*x^6 + 2*x^7 - x^8) / ((1 - x)*(1 + x)*(1 + 2*x - x^2)*(1 - 2*x - x^2)) + O(x^30)) \\ Colin Barker, May 16 2019
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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STATUS
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approved
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