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. 2024 Jul 4;14:15376. doi: 10.1038/s41598-024-66332-2

Table 3.

Invariants of sequences corresponding to alternating encoding (examples).

n q7 q6 q5 q4 q3 q2 q1 q0 Σqi
− 255 0 0 0 0 0 0 0 1 1
− 253 0 0 0 0 0 0 1 0 1
− 251 0 0 0 0 0 1 1 1 3
− 249 0 0 0 0 0 1 0 0 1
− 247 0 0 0 0 1 1 0 1 3
− 245 0 0 0 0 1 1 1 0 3
− 243 0 0 0 0 1 0 1 1 3
− 241 0 0 0 0 1 0 0 0 1
− 239 0 0 0 1 1 0 0 1 3
− 237 0 0 0 1 1 0 1 0 3
− 235 0 0 0 1 1 1 1 1 5
− 233 0 0 0 1 1 1 0 0 3
− 231 0 0 0 1 0 1 0 1 3
− 229 0 0 0 1 0 1 1 0 3
− 227 0 0 0 1 0 0 1 1 3
− 225 0 0 0 1 0 0 0 0 1
− 223 0 0 1 1 0 0 0 1 3
− 221 0 0 1 1 0 0 1 0 3
− 219 0 0 1 1 0 1 1 1 5
− 217 0 0 1 1 0 1 0 0 3
− 215 0 0 1 1 1 1 0 1 5
− 213 0 0 1 1 1 1 1 0 5
− 211 0 0 1 1 1 0 1 1 5
− 209 0 0 1 1 1 0 0 0 3
− 207 0 0 1 0 1 0 0 1 3