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A368036 Numbers k such that the number of partitions of k is the number of strict partitions of some number.

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%I A368036 #10 Mar 28 2025 07:59:42
%S A368036 1,3,5,7,12,14
%N A368036 Numbers k such that the number of partitions of k is the number of strict partitions of some number.
%C A368036 Are there others? See A072246.
%e A368036 The 1 partition of 1 is [1]; the 1 strict partition of 1 is [1].
%e A368036 The 2 partitions of 2 are [2] and [1,1]; the 2 strict partitions of 3 are [3] and [2,1].
%e A368036 The 3 partitions of 3 are [3], [2,1], [1,1,1]; the 3 strict partitions of 5 are [5], [4,1], [3,2].
%e A368036 The 5 partitions of 4 are [4], [3,1], [2,2], [2,1,1], [1,1,1,1]; the 5 restricted partitions of 7 are [7], [6,1], [5,2], [4,3], [4,2,1].
%Y A368036 Cf. A072246, A368037.
%K A368036 nonn
%O A368036 1,2
%A A368036 _Clark Kimberling_, Dec 23 2023