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  • $\begingroup$ You can improve oddPartsPartitionsOf13 = (n |-> Select[IntegerPartitions[n], OddQ@Length@# &])[13]; by doing IntegerPartitions[13, {1, Infinity, 2}, All] instead to generate partitions of 13 with an odd lengths instead of generating unnecessary partitions and selecting the ones with Select. $\endgroup$ Commented Aug 3, 2023 at 14:00
  • $\begingroup$ Yes, you are right. $\endgroup$ Commented Aug 3, 2023 at 14:01