A027299 a(n) = Sum_{k=0..m} (k+1) * A026022(n, m-k), where m=n for n=0,1 and m = floor((n+3)/2) for n >= 2.
1, 3, 8, 20, 32, 79, 128, 312, 512, 1234, 2048, 4888, 8192, 19387, 32768, 76976, 131072, 305902, 524288, 1216536, 2097152, 4840950, 8388608, 19273360, 33554432, 76766564, 134217728, 305877616, 536870912, 1219164499, 2147483648
Offset: 0