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A107854
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G.f. x*(x^2+1)*(x^3-x-1)/((2*x^3+x^2-1)*(x^4+1)).
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1
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0, 1, 1, 2, 3, 3, 5, 8, 11, 19, 29, 42, 67, 99, 149, 232, 347, 531, 813, 1226, 1875, 2851, 4325, 6600, 10027, 15251, 23229, 35306, 53731, 81763, 124341, 189224, 287867, 437907, 666317, 1013642, 1542131, 2346275, 3569413, 5430536, 8261963, 12569363
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OFFSET
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0,4
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COMMENTS
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Floretion Algebra Multiplication Program, FAMP Code: 1dia[I]forzapseq[(.5i' + .5j' + .5'ki' + .5'kj')*(.5'i + .5'j + .5'ik' + .5'jk')], 1vesforzap = A000004
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LINKS
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FORMULA
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MATHEMATICA
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CoefficientList[Series[x(x^2+1)(x^3-x-1)/((2x^3+x^2-1)(x^4+1)), {x, 0, 50}], x] (* or *) LinearRecurrence[{0, 1, 2, -1, 0, 1, 2}, {0, 1, 1, 2, 3, 3, 5}, 50] (* Harvey P. Dale, Jun 21 2022 *)
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PROG
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(PARI) a(n)=([0, 1, 0, 0, 0, 0, 0; 0, 0, 1, 0, 0, 0, 0; 0, 0, 0, 1, 0, 0, 0; 0, 0, 0, 0, 1, 0, 0; 0, 0, 0, 0, 0, 1, 0; 0, 0, 0, 0, 0, 0, 1; 2, 1, 0, -1, 2, 1, 0]^n*[0; 1; 1; 2; 3; 3; 5])[1, 1] \\ Charles R Greathouse IV, Oct 03 2016
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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