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A047851
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a(n) = T(3,n), array T given by A047848.
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8
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1, 2, 8, 44, 260, 1556, 9332, 55988, 335924, 2015540, 12093236, 72559412, 435356468, 2612138804, 15672832820, 94036996916, 564221981492, 3385331888948, 20311991333684, 121871948002100, 731231688012596
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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(0) = 1, a(1) = 2, a(n) = 7*a(n-1) - 6*a(n-2) for n > 1.
G.f.: (1 - 5x)/(1 - 7x + 6x^2). (End)
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MAPLE
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a[0]:=0:a[1]:=1:for n from 2 to 50 do a[n]:=6*a[n-1]+1 od: seq(a[n]+1, n=0..20); # Zerinvary Lajos, Mar 20 2008
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CROSSREFS
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n-th difference of a(n), a(n-1), ..., a(0) is 5^(n-1) for n=1, 2, 3, ...
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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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