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A176448
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a(n) = 7*2^n - 2.
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3
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5, 12, 26, 54, 110, 222, 446, 894, 1790, 3582, 7166, 14334, 28670, 57342, 114686, 229374, 458750, 917502, 1835006, 3670014, 7340030, 14680062, 29360126, 58720254, 117440510, 234881022, 469762046, 939524094, 1879048190, 3758096382
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OFFSET
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0,1
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COMMENTS
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LINKS
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FORMULA
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a(n) = 2*(a(n-1) + 1) with a(0)=5.
a(n)= 3*a(n-1) - 2*a(n-2).
G.f.: ( 5-3*x ) / ( (2*x-1)*(x-1) ). (End)
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EXAMPLE
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a(1) = 2*(5 + 1) = 12;
a(2) = 2*(12 + 1) = 26;
a(3) = 2*(26 + 1) = 54.
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MATHEMATICA
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Table[7*2^n-2, {n, 0, 30}] (* or *) LinearRecurrence[{3, -2}, {5, 12}, 30] (* Harvey P. Dale, May 21 2017 *)
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PROG
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(Magma) [7*2^n-2: n in [0..100]]
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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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