A355573 Largest LCM of partitions of n with a nonzero even number of even parts.
2, 2, 4, 6, 6, 12, 12, 20, 30, 30, 60, 60, 84, 84, 140, 210, 210, 420, 420, 420, 420, 840, 840, 1260, 1260, 1540, 2310, 2520, 4620, 4620, 5460, 5460, 9240, 9240, 13860, 13860, 16380, 16380, 27720, 30030, 32760, 60060, 60060, 60060, 60060, 120120, 120120, 180180, 180180, 180180, 180180
Offset: 4
Keywords
Examples
The partitions of n=8 with a nonzero even number of even parts are 6+2, 4+4, 4+2+1+1, 3+2+2+1, 2+2+2+2, 2+2+1+1+1+1, and the partition with largest LCM among those is 3+2+2+1, which has LCM(3,2,2,1)=3*2=6, so a(8)=6.
Links
- Petr Gregor, Arturo Merino, and Torsten Mütze, The Hamilton compression of highly symmetric graphs, arXiv preprint arXiv:2205.08126 [math.CO], 2022.
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