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using System.Collections.Generic;
using System.Numerics;
namespace Algorithms.Sequences;
/// <summary>
/// <para>
/// Golomb's sequence. a(n) is the number of times n occurs in the sequence, starting with a(1) = 1.
/// </para>
/// <para>
/// Wikipedia: https://en.wikipedia.org/wiki/Golomb_sequence.
/// </para>
/// <para>
/// OEIS: https://oeis.org/A001462.
/// </para>
/// </summary>
public class GolombsSequence : ISequence
{
/// <summary>
/// Gets Golomb's sequence.
/// </summary>
public IEnumerable<BigInteger> Sequence
{
get
{
yield return 1;
yield return 2;
yield return 2;
var queue = new Queue<BigInteger>();
queue.Enqueue(2);
for (var i = 3; ; i++)
{
var repetitions = queue.Dequeue();
for (var j = 0; j < repetitions; j++)
{
queue.Enqueue(i);
yield return i;
}
}
}
}
}
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