A348755 Product_{n>=1} (1 + x^n)^a(n) = 1 + x + x^2 + 2 * Sum_{n>=3} a(n)*x^n.
1, 1, 1, 1, 2, 4, 8, 17, 38, 85, 194, 448, 1046, 2462, 5844, 13953, 33516, 80909, 196222, 477807, 1167850, 2863987, 7045268, 17379771, 42985148, 106568739, 264791172, 659278031, 1644614824, 4109924774, 10287920172, 25792856375, 64760183942, 162822928210
Offset: 1