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A117865
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Number of palindromes (in base 6) below 6^n.
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1
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5, 10, 40, 70, 250, 430, 1510, 2590, 9070, 15550, 54430, 93310, 326590, 559870, 1959550, 3359230, 11757310, 20155390, 70543870, 120932350, 423263230, 725594110, 2539579390, 4353564670, 15237476350, 26121388030, 91424858110, 156728328190, 548549148670
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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) = 7*6^((n-1)/2)-2 (n odd), 2*6^(n/2)-2 (n even).
G.f.: 5*x*(x+1) / ((x-1)*(6*x^2-1)). - Colin Barker, Feb 15 2013
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MATHEMATICA
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Table[If[OddQ[n], 7*6^((n - 1)/2) - 2, 2*6^(n/2) - 2], {n, 25}] (* or *) LinearRecurrence[{1, 6, -6}, {5, 10, 40}, 25] (* G. C. Greubel, Oct 27 2016 *)
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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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