A240858 Number of partitions p of n into distinct parts not including max(p) - min(p).
0, 1, 1, 1, 2, 3, 2, 5, 5, 6, 7, 12, 11, 16, 16, 23, 27, 33, 35, 47, 52, 65, 75, 88, 101, 121, 139, 164, 190, 219, 249, 294, 334, 384, 443, 504, 577, 659, 746, 851, 971, 1097, 1242, 1409, 1585, 1790, 2023, 2271, 2557, 2873, 3221, 3612, 4049, 4521, 5054, 5651
Offset: 0
Examples
a(10) counts all 10 partitions of 10 into distinct parts except for 541, 532, 4321, so that a(10) = 7.