The length of the sequence for arity n is A001320(n), the number of self-complementary n-ary families.
n
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sequence
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1
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1
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2,
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2
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2
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4, 6,
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3
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11
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16, 18, 20, 22, 24, 36, 44, 66, 74, 98, 104,
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4
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226
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256, 258, 260, 262, 264, 272, 274, 276, 278, 280, 288, 292, 296, 300, 320, 322, 328, 330, 352, 354, 360, 362, 384, 386, 388, 390, 400, 402, 404, 406, 516, 524, 528, 532, 536, 540, 548, 556, 560, 564, 568, 572, 1026, 1034, 1040, 1042, 1048, 1050, 1090, 1098, 1104, 1106, 1112, 1114, 1538, 1544, 1552, 1554, 1560, 1562, 1634, 1640, 1648, 1650, 1656, 1658, 2064, 2066, 2068, 2070, 2192, 2194, 2196, 2198, 2320, 2322, 2324, 2326, 2432, 2434, 2436, 2438, 4098, 4100, 4102, 4130, 4132, 4134, 4162, 4164, 4166, 4194, 4196, 4198, 4610, 4612, 4614, 4640, 4644, 4646, 4682, 4684, 4686, 4712, 4716, 4718, 5122, 5124, 5126, 5162, 5164, 5166, 5184, 5186, 5190, 5224, 5226, 5230, 5634, 5636, 5638, 5672, 5676, 5678, 5704, 5706, 5710, 5728, 5730, 5732, 8196, 8198, 8212, 8214, 8324, 8326, 8340, 8342, 8452, 8454, 8468, 8470, 8576, 8578, 8592, 8594, 10244, 10246, 10256, 10258, 10380, 10382, 10392, 10394, 10500, 10502, 10512, 10514, 10632, 10634, 10652, 10654, 16386, 16390, 16402, 16406, 16514, 16518, 16530, 16534, 16642, 16646, 16658, 16662, 16768, 16772, 16784, 16788, 18434, 18438, 18448, 18452, 18570, 18574, 18584, 18588, 18690, 18694, 18704, 18708, 18824, 18828, 18842, 18846, 24578, 24580, 24594, 24596, 24738, 24740, 24754, 24756, 24834, 24836, 24850, 24852, 24992, 24998, 25008, 25014, 27138, 27140, 27152, 27158, 27304, 27310, 27322, 27324, 27394, 27396, 27408, 27414, 27562, 27564, 27576, 27582
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