Patterns Starting With 9
Patterns that can be factored: \[[9^*09^*_{10}]_n=10\cdot10^{2n}-9\cdot10^{n}-1=\left(10^{n}-1\right)\left(10\cdot10^{n}+1\right)=\left(9\cdot[1^*_{10}]_n\right)\left([10^*1_{10}]_n\right)\] \[[9^*69^*_{10}]_n=10\cdot10^{2n}-3\cdot10^{n}-1=\left(2\cdot10^{n}-1\right)\left(5\cdot10^{n}+1\right)=\left([19^*_{10}]_n\right)\left(3\cdot[16^*7_{10}]_{n-1}\right)\]
Links
> 90001: Quasi Repdigit 900..001
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> 90002: Quasi Repdigit 900..002
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> 90004: Quasi Repdigit 900..004
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> 90005: Quasi Repdigit 900..005
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> 90007: Quasi Repdigit 900..007
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> 90008: Quasi Repdigit 900..008
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> 91111: Near Repdigit 911..11
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> 91113: Quasi Repdigit 911..113
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> 91115: Quasi Repdigit 911..115
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> 91117: Quasi Repdigit 911..117
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> 91119: Depression 911..119
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> 91999: Near Repdigit 9199..99
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> 92221: Quasi Repdigit 922..221
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> 92222: Near Repdigit 922..22
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> 92223: Quasi Repdigit 922..223
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> 92224: Quasi Repdigit 922..224
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> 92225: Quasi Repdigit 922..225
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> 92226: Quasi Repdigit 922..226
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> 92227: Quasi Repdigit 922..227
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> 92228: Quasi Repdigit 922..228
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> 92229: Depression 922..229
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> 92999: Near Repdigit 9299..99
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> 93335: Quasi Repdigit 933..335
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> 93337: Quasi Repdigit 933..337
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> 94441: Quasi Repdigit 944..441
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> 94443: Quasi Repdigit 944..443
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> 94446: Quasi Repdigit 944..446
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> 94447: Quasi Repdigit 944..447
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> 94448: Quasi Repdigit 944..448
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> 94449: Depression 944..449
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> 94999: Near Repdigit 9499..99
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> 95551: Quasi Repdigit 955..551
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> 95553: Quasi Repdigit 955..553
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> 95557: Quasi Repdigit 955..557
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> 95559: Depression 955..559
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> 95999: Near Repdigit 9599..99
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> 96661: Quasi Repdigit 966..661
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> 96662: Quasi Repdigit 966..662
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> 96664: Quasi Repdigit 966..664
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> 96665: Quasi Repdigit 966..665
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> 96667: Quasi Repdigit 966..667
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> 96668: Quasi Repdigit 966..668
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> 97771: Quasi Repdigit 977..771
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> 97773: Quasi Repdigit 977..773
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> 97775: Quasi Repdigit 977..775
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> 97777: Near Repdigit 977..77
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> 97999: Near Repdigit 9799..99
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> 98881: Quasi Repdigit 988..881
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> 98882: Quasi Repdigit 988..882
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> 98883: Quasi Repdigit 988..883
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> 98884: Quasi Repdigit 988..884
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> 98885: Quasi Repdigit 988..885
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> 98886: Quasi Repdigit 988..886
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> 98887: Quasi Repdigit 988..887
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> 98888: Near Repdigit 988..88
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> 98889: Depression 988..889
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> 98999: Near Repdigit 9899..99
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> 99199: Near Repdigit Palindrome 99..99199..99
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> 99299: Near Repdigit Palindrome 99..99299..99
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> 99499: Near Repdigit Palindrome 99..99499..99
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> 99599: Near Repdigit Palindrome 99..99599..99
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> 99799: Near Repdigit Palindrome 99..99799..99
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> 99899: Near Repdigit Palindrome 99..99899..99
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> 99919: Near Repdigit 99..9919
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> 99929: Near Repdigit 99..9929
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> 99949: Near Repdigit 99..9949
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> 99959: Near Repdigit 99..9959
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> 99979: Near Repdigit 99..9979
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> 99989: Near Repdigit 99..9989
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> 99991: Near Repdigit 99..991
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> 99992: Near Repdigit 99..992
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> 99997: Near Repdigit 99..997
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