A268359 Sum of median parts of all partitions of n into an odd number of distinct parts.
0, 1, 2, 3, 4, 5, 8, 9, 13, 17, 22, 27, 37, 43, 55, 70, 84, 101, 127, 150, 183, 220, 261, 311, 374, 438, 517, 612, 718, 837, 985, 1141, 1329, 1544, 1786, 2065, 2387, 2739, 3152, 3620, 4149, 4737, 5421, 6173, 7034, 8004, 9087, 10303, 11686, 13209, 14936, 16861
Offset: 0
Keywords
Examples
a(11) = 27: partitions of 11 into an odd number of distinct parts are [5,4,2], [6,3,2], [6,4,1], [7,3,1], [8,2,1], [11], sum of median parts is 4+3+4+3+2+11 = 27.
Links
- Alois P. Heinz, Table of n, a(n) for n = 0..1000
Crossrefs
Cf. A211373.