10701857

10701857 is a specific number that holds particular significance in the context of the A000796 sequence in the OEIS (Online Encyclopedia of Integer Sequences). This sequence is defined as the number of partitions of n into parts, each of which is at least 2 less than a previous part, with the first part being 2.

The number 10701857 appears in this sequence at the 10701857th position. This means that there are 10701857 partitions of 10701857 into parts that meet the criteria specified by the sequence.

The significance of this number lies in its position within the sequence and its relationship to the partition function. The partition function, denoted by p(n), represents the number of ways to partition a number n into parts. The sequence A000796 provides a specific type of partition, which can be useful in various areas of mathematics, including number theory and combinatorics.

The calculation of the exact number of partitions for large values like 10701857 is computationally intensive and typically requires advanced algorithms or the use of computational resources. However, the sequence itself is well-defined and can be studied theoretically to understand its properties and growth patterns.

In summary, 10701857 is a notable number in the context of the A000796 sequence, representing the number of specific partitions of itself. Its position in the sequence highlights the complexity and growth of the partition function in number theory.