Patterns Starting With 8
Patterns that can be factored: \[[8^*08^*_{10}]_n=8\cdot{10\cdot10^{2n}-9\cdot10^{n}-1\over9}=8\cdot\left(10^{n}-1\right)\left(10\cdot10^{n}+1\right)/9=8\cdot\left(9\cdot[1^*_{10}]_n\right)\left([10^*1_{10}]_n\right)/9\] \[[8^*28^*_{10}]_n=2\cdot{40\cdot10^{2n}-27\cdot10^{n}-4\over9}=2\cdot\left(5\cdot10^{n}-4\right)\left(8\cdot10^{n}+1\right)/9=2\cdot\left([9^*2_{10}]_n/2\right)\left(9\cdot[8^*9_{10}]_{n-1}\right)/9\]
Links
> 80003: Quasi Repdigit 800..003
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> 80005: Quasi Repdigit 800..005
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> 80009: Quasi Repdigit 800..009
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> 81111: Near Repdigit 811..11
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> 81112: Quasi Repdigit 811..112
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> 81113: Quasi Repdigit 811..113
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> 81114: Quasi Repdigit 811..114
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> 81115: Quasi Repdigit 811..115
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> 81116: Quasi Repdigit 811..116
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> 81117: Quasi Repdigit 811..117
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> 81118: Depression 811..118
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> 81119: Quasi Repdigit 811..119
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> 81888: Near Repdigit 8188..88
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> 82221: Quasi Repdigit 822..221
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> 82223: Quasi Repdigit 822..223
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> 82225: Quasi Repdigit 822..225
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> 82227: Quasi Repdigit 822..227
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> 82229: Quasi Repdigit 822..229
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> 83333: Near Repdigit 833..33
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> 83336: Quasi Repdigit 833..336
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> 83338: Depression 833..338
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> 83339: Quasi Repdigit 833..339
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> 83888: Near Repdigit 8388..88
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> 84441: Quasi Repdigit 844..441
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> 84443: Quasi Repdigit 844..443
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> 84447: Quasi Repdigit 844..447
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> 84449: Quasi Repdigit 844..449
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> 85551: Quasi Repdigit 855..551
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> 85552: Quasi Repdigit 855..552
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> 85553: Quasi Repdigit 855..553
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> 85556: Quasi Repdigit 855..556
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> 85557: Quasi Repdigit 855..557
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> 85559: Quasi Repdigit 855..559
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> 85888: Near Repdigit 8588..88
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> 86663: Quasi Repdigit 866..663
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> 86665: Quasi Repdigit 866..665
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> 86669: Quasi Repdigit 866..669
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> 87771: Quasi Repdigit 877..771
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> 87772: Quasi Repdigit 877..772
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> 87773: Quasi Repdigit 877..773
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> 87774: Quasi Repdigit 877..774
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> 87775: Quasi Repdigit 877..775
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> 87776: Quasi Repdigit 877..776
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> 87777: Near Repdigit 877..77
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> 87778: Depression 877..778
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> 87779: Quasi Repdigit 877..779
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> 87888: Near Repdigit 8788..88
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> 88188: Near Repdigit Palindrome 88..88188..88
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> 88388: Near Repdigit Palindrome 88..88388..88
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> 88588: Near Repdigit Palindrome 88..88588..88
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> 88788: Near Repdigit Palindrome 88..88788..88
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> 88818: Near Repdigit 88..8818
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> 88838: Near Repdigit 88..8838
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> 88858: Near Repdigit 88..8858
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> 88878: Near Repdigit 88..8878
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> 88881: Near Repdigit 88..881
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> 88883: Near Repdigit 88..883
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> 88887: Near Repdigit 88..887
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> 88889: Near Repdigit 88..889
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> 88988: Near Repdigit Palindrome 88..88988..88
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> 89888: Near Repdigit 8988..88
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> 89992: Quasi Repdigit 899..992
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> 89993: Quasi Repdigit 899..993
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> 89995: Quasi Repdigit 899..995
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> 89996: Quasi Repdigit 899..996
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> 89998: Plateau 899..998
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> 89999: Near Repdigit 899..99
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