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A037491
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Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 2,1.
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0
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2, 13, 80, 481, 2888, 17329, 103976, 623857, 3743144, 22458865, 134753192, 808519153, 4851114920, 29106689521, 174640137128, 1047840822769, 6287044936616, 37722269619697, 226333617718184, 1358001706309105
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) = 6a(n-1) + a(n-2) - 6a(n-3).
G.f.: x*(2+x) / ( (x-1)*(6*x-1)*(1+x) ). - R. J. Mathar, Nov 21 2011
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MATHEMATICA
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Module[{nn=20, d}, d=PadRight[{}, nn, {2, 1}]; Table[FromDigits[Take[d, n], 6], {n, nn}]] (* or *) LinearRecurrence[{6, 1, -6}, {2, 13, 80}, 20] (* Harvey P. Dale, Feb 26 2015 *)
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CROSSREFS
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KEYWORD
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nonn,base,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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