A021097 Decimal expansion of 1/93.

0, 1, 0, 7, 5, 2, 6, 8, 8, 1, 7, 2, 0, 4, 3, 0, 1, 0, 7, 5, 2, 6, 8, 8, 1, 7, 2, 0, 4, 3, 0, 1, 0, 7, 5, 2, 6, 8, 8, 1, 7, 2, 0, 4, 3, 0, 1, 0, 7, 5, 2, 6, 8, 8, 1, 7, 2, 0, 4, 3, 0, 1, 0, 7, 5, 2, 6, 8, 8, 1, 7, 2, 0, 4, 3, 0, 1, 0, 7, 5, 2, 6, 8, 8, 1, 7, 2, 0, 4, 3, 0, 1, 0, 7, 5, 2, 6, 8, 8

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cons
• easy

Comments

Generalization:

1/3 = Sum_{i >= 0} 7^i/10^(i+1);

1/93 = Sum_{i >= 0} 7^i/100^(i+1) (this sequence);

1/993 = Sum_{i >= 0} 7^i/1000^(i+1);

1/9993 = Sum_{i >= 0} 7^i/10000^(i+1), etc. - Daniel Forgues, Oct 28 2011

In other words, given n > 1, the decimal expansion of 1/(10^n - 3) contains the first n powers of 7 (including 7^0 = 1) separated by n - 1 zeroes. - Alonso del Arte, Aug 10 2017

Examples

			0.010752688172043010752688172...
		

Links

• Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

Crossrefs

Cf. A010701, A000420.

Programs

Mathematica

RealDigits[1/93, 10, 100][[1]] (* Alonso del Arte, Aug 10 2017 *)