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A021097 Decimal expansion of 1/93. 1
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,4

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

LINKS

Table of n, a(n) for n=0..98.

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

EXAMPLE

0.010752688172043010752688172...

MATHEMATICA

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

CROSSREFS

Cf. A010701, A000420.

Sequence in context: A212038 A112545 A021934 * A087273 A297879 A245510

Adjacent sequences:  A021094 A021095 A021096 * A021098 A021099 A021100

KEYWORD

nonn,cons,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified December 13 12:49 EST 2018. Contains 318086 sequences. (Running on oeis4.)