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A021027
Decimal expansion of 1/23.
4
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
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
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved