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A069229
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a(n) = n*(2^n + 1).
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1
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0, 3, 10, 27, 68, 165, 390, 903, 2056, 4617, 10250, 22539, 49164, 106509, 229390, 491535, 1048592, 2228241, 4718610, 9961491, 20971540, 44040213, 92274710, 192938007, 402653208, 838860825, 1744830490, 3623878683, 7516192796
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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Recurrence: a(n) = 6*a(n-1) - 13*a(n-2) + 12*a(n-3) - 4*a(n-4).
G.f.: x*(3 - 8*x + 6*x^2)/(1-x)^2/(1 - 2*x)^2.
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MATHEMATICA
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LinearRecurrence[{6, -13, 12, -4}, {0, 3, 10, 27}, 30] (* Harvey P. Dale, May 06 2021 *)
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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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