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Number of (n + 1, n + 2)-core partitions into odd parts.
0

%I #12 Feb 19 2025 12:11:11

%S 1,2,4,7,17,31,80,152,404,790,2140,4271,11729,23767,65952,135221,

%T 378321,782968,2205168,4598804,13023324,27332956,77761008

%N Number of (n + 1, n + 2)-core partitions into odd parts.

%H Paul Barry, <a href="https://doi.org/10.3390/math13020242">Extensions of Riordan Arrays and Their Applications</a>, Mathematics (2025) Vol. 13, No. 2, 242. See p. 23.

%H Anthony Zaleski and Doron Zeilberger, <a href="https://arxiv.org/abs/1712.10072">On the Intriguing Problem of Counting (n + 1, n + 2)-Core Partitions into Odd Parts</a>, arXiv:1712.10072 [math.CO], 2017.

%Y Cf. A047749.

%K nonn,more

%O 0,2

%A _N. J. A. Sloane_, Feb 14 2018

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