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A028188
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Expansion of 1/((1-5*x)*(1-7*x)*(1-10*x)*(1-12*x)).
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0
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1, 34, 737, 13022, 204885, 2995842, 41695033, 560476774, 7346285309, 94497418730, 1198353224289, 15030879260046, 186924790959973, 2308975949692498, 28368854500004105, 347054225208330038
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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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G.f.: 1/((1-5*x)*(1-7*x)*(1-10*x)*(1-12*x)).
a(n) = (3*12^(n+3)-7*10^(n+3)+7^(n+4)-3*5^(n+3))/210. [Yahia Kahloune, May 29 2013].
a(n) = 34*a(n-1)-419*a(n-2)+2210*a(n-3)-4200*a(n-4). - Wesley Ivan Hurt, May 04 2021
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MATHEMATICA
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CoefficientList[Series[1/((1-5x)(1-7x)(1-10x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{34, -419, 2210, -4200}, {1, 34, 737, 13022}, 30] (* Harvey P. Dale, Jul 15 2018 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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