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A016276
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Expansion of 1/((1-2x)(1-3x)(1-7x)).
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0
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1, 12, 103, 786, 5713, 40656, 286651, 2012862, 14109205, 98822460, 691932319, 4844053578, 33909961177, 237374494824, 1661635779907, 11631493440534, 81420583092829, 569944468808148, 3989612443394215
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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) = 12*a(n-1) - 41*a(n-2) + 42*a(n-3), n >= 3.
a(n) = 10*a(n-1) - 21*a(n-2) + 2^n, a(0)=1, a(1)=12.
(End)
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MATHEMATICA
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CoefficientList[Series[1/((1-2x)(1-3x)(1-7x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{12, -41, 42}, {1, 12, 103}, 30] (* Harvey P. Dale, Apr 28 2013 *)
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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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