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A165283
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a(n) = (2*n + 1)*16^n.
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2
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1, 48, 1280, 28672, 589824, 11534336, 218103808, 4026531840, 73014444032, 1305670057984, 23089744183296, 404620279021568, 7036874417766400, 121597189939003392, 2089670227099910144, 35740566642812256256, 608742554432415203328, 10330176681277348904960
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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+16*x)/(1-16*x)^2.
Sum_{n>=0} 1/a(n) = 2*log(5/3).
Sum_{n>=0} (-1)^n/a(n) = 4 * arctan(1/4). - Amiram Eldar, Jul 12 2020
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PROG
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(PARI) a(n)=(2*n+1)*16^n
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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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