A021027 Decimal expansion of 1/23.

0, 4, 3, 4, 7, 8, 2, 6, 0, 8, 6, 9, 5, 6, 5, 2, 1, 7, 3, 9, 1, 3, 0, 4, 3, 4, 7, 8, 2, 6, 0, 8, 6, 9, 5, 6, 5, 2, 1, 7, 3, 9, 1, 3, 0, 4, 3, 4, 7, 8, 2, 6, 0, 8, 6, 9, 5, 6, 5, 2, 1, 7, 3, 9, 1, 3, 0, 4, 3, 4, 7, 8, 2, 6, 0, 8, 6, 9, 5, 6, 5, 2, 1, 7, 3, 9, 1, 3, 0, 4, 3, 4, 7, 8, 2, 6, 0, 8, 6

Offset

0,2

Comments

Since 23 is prime and the cycle of its reciprocal's base 10 digits is 22, 23 is a full reptend prime in base 10 (A001913). - Alonso del Arte, Mar 26 2020

Links

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

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

Example

1/23 = 0.043478260869565217391304347826...

Mathematica

Join[{0}, RealDigits[1/23, 10, 100][[1]]] (* Alonso del Arte, Mar 14 2020 *)

Prog

(Scala) def longDivRecip(n: Int, places: Int = 100): List[Int] = {
  val pow10 = Math.pow(10, Math.ceil(Math.log10(Math.abs(n)))).toInt
  val digits = new scala.collection.mutable.ListBuffer[Int]()
  var quotient = pow10; var remainder = 0
  while (digits.size < places) {
    remainder = quotient % n; quotient /= n; digits += quotient
    quotient = remainder * 10
  }
  digits.toList
}
0 :: longDivRecip(23) // Alonso del Arte, Mar 25 2020

Crossrefs

Cf. A001913.

Sequence in context: A021701 A097511 A200592 * A289672 A359864 A361849

Adjacent sequences: A021024 A021025 A021026 * A021028 A021029 A021030

Keyword

nonn,cons,easy

Author

N. J. A. Sloane.

Status

approved