Patterns Starting With 2
Patterns that can be factored: \[[2^*02^*_8]_n=2\cdot{8\cdot8^{2n}-7\cdot8^{n}-1\over7}=2\cdot\left(8^{n}-1\right)\left(8\cdot8^{n}+1\right)/7=2\cdot\left(7\cdot[1^*_8]_n\right)\left([10^*1_8]_n\right)/7\] \[[2^*42^*_8]_n=2\cdot{8\cdot8^{2n}+7\cdot8^{n}-1\over7}=2\cdot\left(8^{n}+1\right)\left(8\cdot8^{n}-1\right)/7=2\cdot\left([10^*1_8]_{n-1}\right)\left(7\cdot[1^*_8]_{n+1}\right)/7\]
Links
> 20001: Quasi Repdigit 200..001
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> 20003: Quasi Repdigit 200..003
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> 20007: Quasi Repdigit 200..007
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> 21111: Near Repdigit 211..11
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> 21113: Quasi Repdigit 211..113
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> 21116: Quasi Repdigit 211..116
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> 21117: Quasi Repdigit 211..117
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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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> 22223: Near Repdigit 22..223
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> 22225: Near Repdigit 22..225
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> 22227: Near Repdigit 22..227
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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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> 23333: Near Repdigit 233..33
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> 23335: Quasi Repdigit 233..335
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> 23336: Quasi Repdigit 233..336
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> 23337: Quasi Repdigit 233..337
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> 24441: Quasi Repdigit 244..441
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> 24443: Quasi Repdigit 244..443
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> 24447: Quasi Repdigit 244..447
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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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> 25555: Near Repdigit 255..55
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> 25556: Quasi Repdigit 255..556
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> 25557: Quasi Repdigit 255..557
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> 26661: Quasi Repdigit 266..661
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> 26663: Quasi Repdigit 266..663
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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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> 27773: Quasi Repdigit 277..773
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> 27776: Quasi Repdigit 277..776
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> 27777: Near Repdigit 277..77
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