A255942 Number of collections of nonempty multisets with a total of n objects of exactly two colors.

2, 8, 23, 56, 127, 268, 547, 1072, 2055, 3836, 7045, 12692, 22566, 39542, 68520, 117354, 199082, 334446, 557175, 920528, 1509606, 2457698, 3974813, 6387026, 10201990, 16201424, 25589505, 40205766, 62857564, 97800674, 151475564, 233575222, 358656011, 548476318