Boolf prop/3-ary/village

This is one of the eight families in village {1, 3, 5, 15}. The elements of the set are the columns visible in matrix Ж.

Number of blocks:   7 Integer partition:   216 + 332 + 264

# village block
16 {0} [0, 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255]
64 {1, 3, 5, 15} [1, 2, 4, 8, 16, 19, 21, 25, 32, 35, 38, 42, 49, 50, 55, 59, 64, 69, 70, 76, 81, 84, 87, 93, 98, 100, 103, 110, 115, 117, 118, 127, 128, 137, 138, 140, 145, 152, 155, 157, 162, 168, 171, 174, 179, 185, 186, 191, 196, 200, 205, 206, 213, 217, 220, 223, 230, 234, 236, 239, 247, 251, 253, 254]
32 {2, 10} [3, 12, 18, 29, 33, 46, 48, 63, 71, 72, 86, 89, 101, 106, 116, 123, 132, 139, 149, 154, 166, 169, 183, 184, 192, 207, 209, 222, 226, 237, 243, 252]
32 {4, 12} [5, 10, 20, 27, 39, 40, 54, 57, 65, 78, 80, 95, 99, 108, 114, 125, 130, 141, 147, 156, 160, 175, 177, 190, 198, 201, 215, 216, 228, 235, 245, 250]
32 {6, 14} [6, 9, 23, 24, 36, 43, 53, 58, 66, 77, 83, 92, 96, 111, 113, 126, 129, 142, 144, 159, 163, 172, 178, 189, 197, 202, 212, 219, 231, 232, 246, 249]
64 {7, 9, 11, 13} [7, 11, 13, 14, 22, 26, 28, 31, 37, 41, 44, 47, 52, 56, 61, 62, 67, 73, 74, 79, 82, 88, 91, 94, 97, 104, 107, 109, 112, 121, 122, 124, 131, 133, 134, 143, 146, 148, 151, 158, 161, 164, 167, 173, 176, 181, 182, 188, 193, 194, 199, 203, 208, 211, 214, 218, 224, 227, 229, 233, 241, 242, 244, 248]
16 {8} [15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240]