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A047853
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a(n) = T(5,n), array T given by A047848.
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8
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1, 2, 10, 74, 586, 4682, 37450, 299594, 2396746, 19173962, 153391690, 1227133514, 9817068106, 78536544842, 628292358730, 5026338869834, 40210710958666, 321685687669322, 2573485501354570, 20587884010836554, 164703072086692426, 1317624576693539402, 10540996613548315210
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OFFSET
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0,2
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COMMENTS
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n-th difference of a(n), a(n-1), ..., a(0) is 7^(n-1) for n = 1, 2, 3, ...
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LINKS
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FORMULA
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a(0)=1, a(1)=2; a(n) = 9*a(n-1) - 8*a(n-2) for n>1.
G.f.: (1 - 7*x)/(1 - 9*x + 8*x^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]:=8*a[n-1]+1 od: seq(a[n]+1, n=0..18); # Zerinvary Lajos, Mar 20 2008
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MATHEMATICA
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LinearRecurrence[{9, -8}, {1, 2}, 30] (* Harvey P. Dale, Dec 11 2016 *)
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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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EXTENSIONS
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STATUS
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approved
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