Patterns Starting With 2
Patterns that can be factored: \[[2^*02^*_{10}]_n=2\cdot{10\cdot10^{2n}-9\cdot10^{n}-1\over9}=2\cdot\left(10^{n}-1\right)\left(10\cdot10^{n}+1\right)/9=2\cdot\left(9\cdot[1^*_{10}]_n\right)\left([10^*1_{10}]_n\right)/9\] \[[2^*42^*_{10}]_n=2\cdot{10\cdot10^{2n}+9\cdot10^{n}-1\over9}=2\cdot\left(10^{n}+1\right)\left(10\cdot10^{n}-1\right)/9=2\cdot\left([10^*1_{10}]_{n-1}\right)\left(9\cdot[1^*_{10}]_{n+1}\right)/9\]
Links
> 20003: Quasi Repdigit 200..003
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> 20009: Quasi Repdigit 200..009
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> 21111: Near Repdigit 211..11
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> 21112: Depression 211..112
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> 21113: Quasi Repdigit 211..113
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> 21114: Quasi Repdigit 211..114
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> 21116: Quasi Repdigit 211..116
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> 21117: Quasi Repdigit 211..117
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> 21118: Quasi Repdigit 211..118
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> 21119: Quasi Repdigit 211..119
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> 21222: Near Repdigit 2122..22
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> 22122: Near Repdigit Palindrome 22..22122..22
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> 22221: Near Repdigit 22..221
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> 22223: Near Repdigit 22..223
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> 22227: Near Repdigit 22..227
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> 22229: Near Repdigit 22..229
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> 22252: Near Repdigit 22..2252
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> 22272: Near Repdigit 22..2272
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> 22292: Near Repdigit 22..2292
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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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> 22922: Near Repdigit Palindrome 22..22922..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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> 23336: Quasi Repdigit 233..336
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> 23339: Quasi Repdigit 233..339
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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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> 24449: Quasi Repdigit 244..449
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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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> 25556: Quasi Repdigit 255..556
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> 25557: Quasi Repdigit 255..557
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> 25558: Quasi Repdigit 255..558
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> 25559: Quasi Repdigit 255..559
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> 26663: Quasi Repdigit 266..663
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> 26669: Quasi Repdigit 266..669
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> 27771: Quasi Repdigit 277..771
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> 27772: Plateau 277..772
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> 27773: Quasi Repdigit 277..773
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> 27774: Quasi Repdigit 277..774
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> 27777: Near Repdigit 277..77
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> 27779: Quasi Repdigit 277..779
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> 28881: Quasi Repdigit 288..881
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> 28883: Quasi Repdigit 288..883
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> 28887: Quasi Repdigit 288..887
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> 28889: Quasi Repdigit 288..889
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> 29222: Near Repdigit 2922..22
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> 29992: Plateau 299..992
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> 29993: Quasi Repdigit 299..993
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> 29996: Quasi Repdigit 299..996
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> 29998: Quasi Repdigit 299..998
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> 29999: Near Repdigit 299..99
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