2,0,1,0,1
3,0,2,1,2
4,1,3,2,6
5,2,5,6,15
6,4,8,15,40
7,7,13,40,104
8,12,21,104,273
9,20,34,273,714
10,33,55,714,1870
11,54,89,1870,4895
12,88,144,4895,12816
13,143,233,12816,33552
14,232,377,33552,87841
15,376,610,87841,229970
16,609,987,229970,602070
17,986,1597,602070,1576239
18,1596,2584,1576239,4126648
19,2583,4181,4126648,10803704
20,4180,6765,10803704,28284465
21,6764,10946,28284465,74049690
22,10945,17711,74049690,193864606
23,17710,28657,193864606,507544127