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A343915
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a(n) = floor(((n mod 6)+1) * 10^floor((n/6)+1) / 7).
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0
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1, 2, 4, 5, 7, 8, 14, 28, 42, 57, 71, 85, 142, 285, 428, 571, 714, 857, 1428, 2857, 4285, 5714, 7142, 8571, 14285, 28571, 42857, 57142, 71428, 85714, 142857, 285714, 428571, 571428, 714285, 857142, 1428571, 2857142, 4285714, 5714285, 7142857, 8571428, 14285714
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OFFSET
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0,2
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COMMENTS
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Every digit string (after the decimal point) in the decimal expansion of 1/7 = 0.142857142857142857... forms a term of this sequence.
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LINKS
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FORMULA
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a(n) = floor(((n mod 6)+1) * 10^floor((n/6)+1) / 7).
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EXAMPLE
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Every 6th term of the sequence starts with the same digits:
1, 2, 4, 5, 7, 8,
14, 28, 42, 57, 71, 85,
142, 285, 428, 571, 714, 857,
1428, 2857, 4285, 5714, 7142, 8571,
14285, 28571, 42857, 57142, 71428, 85714,
142857, 285714, 428571, 571428, 714285, 857142,
1428571, 2857142, 4285714, 5714285, 7142857, 8571428,
14285714, 28571428, 42857142, 57142857, 71428571, 85714285,
...
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PROG
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(PARI) a(n) = {((n % 6)+1)*10^(n\6+1)\7} \\ Andrew Howroyd, May 05 2021
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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