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A047854
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a(n) = T(6,n), array T given by A047848.
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6
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1, 2, 11, 92, 821, 7382, 66431, 597872, 5380841, 48427562, 435848051, 3922632452, 35303692061, 317733228542, 2859599056871, 25736391511832, 231627523606481, 2084647712458322
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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) = 10*a(n-1) - 9*a(n-2) for n > 1.
G.f.: (1 - 8x)/(1 - 10x + 9x^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]:=9*a[n-1]+1 od: seq(a[n]+1, n=0..17); # Zerinvary Lajos, Mar 20 2008
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MATHEMATICA
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a = {}; ZZ = 1; Do[ZZ = ZZ + 3^(2x); AppendTo[a, ZZ], {x, 0, 17}]; a (* Zerinvary Lajos, Apr 03 2007 *)
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CROSSREFS
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n-th difference of a(n), a(n-1), ..., a(0) is 8^(n-1) for n=1, 2, 3, ...
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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