A343915 a(n) = floor(((n mod 6)+1) * 10^floor((n/6)+1) / 7).

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

Offset: 0

Author

Konstantin Kutsenko, May 04 2021

Keywords

• nonn
• base

Comments

Every digit string (after the decimal point) in the decimal expansion of 1/7 = 0.142857142857142857... forms a term of this sequence.

Examples

			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,
  ...
		

Links

• Konstantin Kutsenko, Python module used to generate sequences from different numbers

Crossrefs

Cf. A020806, A241217, A343833.

Programs

PARI

a(n) = {((n % 6)+1)*10^(n\6+1)\7} \\ Andrew Howroyd, May 05 2021

Formula

a(n) = floor(((n mod 6)+1) * 10^floor((n/6)+1) / 7).