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A275908
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Expansion of (1+2*x+4*x^2+4*x^3+6*x^4+4*x^5+x^6) / (1-3*x-x^2-6*x^3-7*x^4-7*x^5-5*x^6-x^7).
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1
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1, 5, 20, 75, 288, 1105, 4234, 16226, 62188, 238340, 913452, 3500857, 13417236, 51422337, 197079099, 755317101, 2894796675, 11094476468, 42520225774, 162961236161, 624558407329, 2393656389397, 9173827208656, 35159225871899, 134749776270503, 516436347919005, 1979272313718089
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 3*a(n-1)+a(n-2)+6*a(n-3)+7*a(n-4)+7*a(n-5)+5*a(n-6)+a(n-7) for n>6. - Colin Barker, Aug 26 2016
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MATHEMATICA
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CoefficientList[Series[(1+2x+4x^2+4x^3+6x^4+4x^5+x^6)/(1-3x-x^2-6x^3- 7x^4- 7x^5-5x^6-x^7), {x, 0, 30}], x] (* or *) LinearRecurrence[{3, 1, 6, 7, 7, 5, 1}, {1, 5, 20, 75, 288, 1105, 4234}, 30] (* Harvey P. Dale, Mar 08 2023 *)
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PROG
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(PARI) Vec((1+2*x+4*x^2+4*x^3+6*x^4+4*x^5+x^6)/(1-3*x-x^2-6*x^3- 7*x^4-7*x^5-5*x^6-x^7) + O(x^30)) \\ Colin Barker, Aug 26 2016
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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