A103481 Diagonal sums of A103462.
1, 1, 2, 3, 4, 6, 9, 16, 31, 69, 168, 447, 1274, 3862, 12351, 41472, 145661, 533745, 2036158, 8071795, 33192800, 141351726, 622384741, 2829417288, 13263528363, 64038928741, 318121600708, 1624347614751, 8517247764150, 45822087138894
Offset: 0
Formula
a(n)=sum{k=0..floor(n/2), k^(n-2k)+1-0^(n-2k)}; a(n)=sum{k=0..floor(n/2), k^(n-2k)}+floor((n+1)/2).