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A037596
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Numbers written in base 4 whose digits are, in order, the first n terms of the periodic sequence with initial period 1,0,3.
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0
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1, 10, 103, 1031, 10310, 103103, 1031031, 10310310, 103103103, 1031031031, 10310310310, 103103103103, 1031031031031, 10310310310310, 103103103103103, 1031031031031031
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..16.
Index entries for linear recurrences with constant coefficients, signature (10,0,1,-10).
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FORMULA
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G.f.: x*(1+3*x^2) / ( (x-1)*(10*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015
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MATHEMATICA
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With[{c=PadRight[{}, 21, {1, 0, 3}]}, Table[FromDigits[Take[c, n]], {n, 20}]] (* Harvey P. Dale, Dec 29 2011 *)
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CROSSREFS
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Sequence in context: A331475 A158240 A087393 * A037687 A015588 A162667
Adjacent sequences: A037593 A037594 A037595 * A037597 A037598 A037599
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KEYWORD
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nonn,base,easy
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AUTHOR
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Clark Kimberling
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STATUS
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approved
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