A088131 a(n) equals the square of the n-th partial sum added to twice the n-th partial sum of the squares, divided by a(n-1), for all n>=1, with a(0)=1, a(1)=1.

1, 1, 8, 29, 115, 452, 1779, 7001, 27552, 108429, 426715, 1679308, 6608803, 26008497, 102354680, 402809917, 1585231171, 6238570004, 24551470099, 96620649225, 380244026896, 1496424637485, 5889077900715, 23176067575964