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A096977
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a(n) = 4*a(n-1) + 3*a(n-2) - 14*a(n-3) + 8*a(n-4).
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3
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0, 1, 2, 11, 36, 157, 598, 2447, 9672, 38913, 155194, 621683, 2484908, 9943269, 39765790, 159077719, 636281744, 2545185225, 10180624386, 40722730555, 162890456180, 651562756781, 2606249162982, 10425000380191, 41699994064216
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OFFSET
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0,3
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COMMENTS
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Original name was: A Jacobsthal summation.
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LINKS
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FORMULA
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G.f.: x*(1-2*x)/((1-x)^2*(1+2*x)*(1-4*x)).
a(n) = 4*4^n/27 - 4*(-2)^n/27 + n/9.
a(n) = 4*a(n-1) + 3*a(n-2) - 14*a(n-3) + 8*a(n-4).
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MATHEMATICA
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LinearRecurrence[{4, 3, -14, 8}, {0, 1, 2, 11}, 30] (* Harvey P. Dale, Jul 01 2015 *)
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PROG
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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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