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A037580
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Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,3.
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1
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1, 11, 89, 715, 5721, 45771, 366169, 2929355, 23434841, 187478731, 1499829849, 11998638795, 95989110361, 767912882891, 6143303063129, 49146424505035, 393171396040281, 3145371168322251, 25162969346578009, 201303754772624075, 1610430038180992601
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = (11*8^n+7*(-1)^n-18)/63. a(n) = 8*a(n-1)+a(n-2)-8*a(n-3). G.f.: x*(3*x+1) / ((x-1)*(x+1)*(8*x-1)). [Colin Barker, Dec 27 2012]
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MATHEMATICA
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CoefficientList[Series[(3 x + 1)/((x - 1) (x + 1) (8 x - 1)), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 22 2013 *)
Table[FromDigits[PadRight[{}, n, {1, 3}], 8], {n, 30}] (* Harvey P. Dale, May 15 2019 *)
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PROG
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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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