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alternating n.  and  super-d n.

First numbers that belong to both sets:

69, 81, 105, 107, 127, 169, 181, 369, 381, 454, 569, 581, 690, 749, 769, 781, 783, 810, 969, 981, 1036, 1050, 1052, 1054, 1056, 1058, 1070, 1072, 1270, 1454, 1616, 1690, 1810, 2169, 2181, 2363, 2369, 2381, 2569, 2581, 2769, 2781, 2943, 2969, 2981, 3058, 3258, 3494, 3690, 3810, 4143, 4169, 4181, 4369, 4381, 4527, 4569, 4581, 4769, 4781, 4961, 4969, 4981, 5036, 5414, 5454, 5690, 5810, 6123, 6145, 6169, 6181, 6369, 6381, 6569, 6581, 6761, 6769, 6781, 6929, 6965, 6969, 6981, 6989, 7274, 7490, 7492, 7632, 7656, 7690, 7810, 7812, 7814, 7816, 7818, 7830, 7832, 7834, 7836, 7838, 8169, 8181, 8183, 8369, 8381, 8569, 8581, 8703, 8725, 8769, 8781, 8787, 8969, 8981, 9012, 9034, 9056, 9416, 9452, 9652, 9690, 9810, 10105, 10127, 10169, 10181, 10189, 10301, 10361, 10363, 10369, 10381, 10501, 10503, 10505, 10507, 10509, 10521, 10523, 10525, 10527, 10529, 10541, 10543, 10545, 10547, 10549, 10561, 10563, 10565, 10567, 10569, 10581, 10583, 10585, 10587, 10589, 10701, 10703, 10705, 10707, 10709, 10721, 10723, 10729, 10769, 10781, 10969, 10981, 12129, 12169, 12181, 12309, 12369, 12381, 12569, 12581, 12701, 12703, 12705, 12707, 12769, 12781, 12969, 12981, 12985, 14169, 14181, 14369, 14381, 14509, 14527, 14529, 14541, 14543, 14569, 14581, 14701, 14769, 14781, 14967, 14969, 14981, 14987, 16123, 16145, 16161, 16163, 16165, 16167, 16169, 16181, 16369, 16381, 16569, 16581, 16741, 16761, 16767, 16769, 16781, 16903, 16965, 16967, 16969, 16981, 16989, 18169, 18181, 18347, 18369, 18381, 18503, 18569, 18581, 18705, 18769, 18781, 18941, 18969, 18981, 21074, 21234, 21472, 21474, 21476, 21478, 21676, 21690, 21810, 23058, 23294, 23476, 23630, 23690, 23692, 23694, 23810, 23812, 23898, 25296, 25454, 25690, 25698, 25810, 27452, 27498, 27638, 27690, 27810, 27812, 27818, 29012, 29056, 29430, 29638, 29652, 29690, 29692, 29810.

Some larger examples :