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Consideration of a classification of the number of partitions of a naturalnumber according to the members of sub-partitions differing from unity leads toa non-recursive formula for the number of irreducible representations of thesymmetric group Sn. This article was published, long ago, under the title Anon-recursive expression for the number of irreducible representations of theSymmetric Group Sn, Physica 114A, 1982, 361-364, North-Holland Publishing Co.The Introduction has been, somewhat, improved, however, the handmade resultremains unproved.

An elementary non-recursive expression for the partition function P(n)