Patterns Starting With 2
Patterns that can be factored: \[[2^*02^*_9]_n={9\cdot9^{2n}-8\cdot9^{n}-1\over4}=\left(9^{n}-1\right)\left(9\cdot9^{n}+1\right)/4=\left(8\cdot[1^*_9]_n\right)\left(2\cdot[4^*5_9]_n\right)/4\] \[[2^*42^*_9]_n={9\cdot9^{2n}+8\cdot9^{n}-1\over4}=\left(9^{n}+1\right)\left(9\cdot9^{n}-1\right)/4=\left(2\cdot[4^*5_9]_{n-1}\right)\left(8\cdot[1^*_9]_{n+1}\right)/4\]
Links
> 20001: Quasi Repdigit 200..001
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> 20005: Quasi Repdigit 200..005
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> 20007: Quasi Repdigit 200..007
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> 21111: Near Repdigit 211..11
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> 21112: Depression 211..112
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> 21114: Quasi Repdigit 211..114
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> 21115: Quasi Repdigit 211..115
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> 21117: Quasi Repdigit 211..117
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> 21118: Quasi Repdigit 211..118
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> 21222: Near Repdigit 2122..22
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> 22122: Near Repdigit Palindrome 22..22122..22
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> 22212: Near Repdigit 22..2212
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> 22221: Near Repdigit 22..221
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> 22225: Near Repdigit 22..225
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> 22227: Near Repdigit 22..227
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> 22232: Near Repdigit 22..2232
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> 22252: Near Repdigit 22..2252
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> 22272: Near Repdigit 22..2272
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> 22322: Near Repdigit Palindrome 22..22322..22
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> 22522: Near Repdigit Palindrome 22..22522..22
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> 22722: Near Repdigit Palindrome 22..22722..22
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> 23222: Near Repdigit 2322..22
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> 23332: Plateau 233..332
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> 23334: Quasi Repdigit 233..334
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> 23335: Quasi Repdigit 233..335
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> 23337: Quasi Repdigit 233..337
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> 23338: Quasi Repdigit 233..338
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> 24441: Quasi Repdigit 244..441
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> 24445: Quasi Repdigit 244..445
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> 25222: Near Repdigit 2522..22
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> 25551: Quasi Repdigit 255..551
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> 25552: Plateau 255..552
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> 25554: Quasi Repdigit 255..554
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> 25555: Near Repdigit 255..55
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> 25557: Quasi Repdigit 255..557
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> 25558: Quasi Repdigit 255..558
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> 26661: Quasi Repdigit 266..661
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> 26665: Quasi Repdigit 266..665
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> 26667: Quasi Repdigit 266..667
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> 27222: Near Repdigit 2722..22
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> 27771: Quasi Repdigit 277..771
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> 27772: Plateau 277..772
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> 27774: Quasi Repdigit 277..774
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> 27777: Near Repdigit 277..77
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> 27778: Quasi Repdigit 277..778
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> 28881: Quasi Repdigit 288..881
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> 28885: Quasi Repdigit 288..885
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> 28887: Quasi Repdigit 288..887
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