Unrefinable partitions into distinct parts in a normalizer chain

In a recent paper on study of the Sylow 2-subgroups symmetric group with 2^n elements it has been show that growth first (n-2) consecutive indices certain normalizer chain is linked to sequence partitions integers into distinct parts. Unrefinable parts are those in which no part x can be replaced whose sum obtaining new partition We prove here (n-1)-th index previously mentioned related number unrefinable satisfying condition minimal excludant.