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Patterns Starting With 7

Patterns that can be factored: \[[7^*07^*_{10}]_n=7\cdot{10\cdot10^{2n}-9\cdot10^{n}-1\over9}=7\cdot\left(10^{n}-1\right)\left(10\cdot10^{n}+1\right)/9=7\cdot\left(9\cdot[1^*_{10}]_n\right)\left([10^*1_{10}]_n\right)/9\]

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> 70001: Quasi Repdigit 700..001 (table) > 70003: Quasi Repdigit 700..003 (table) > 70004: Quasi Repdigit 700..004 (table) > 70006: Quasi Repdigit 700..006 (table) > 70009: Quasi Repdigit 700..009 (table) > 71111: Near Repdigit 711..11 (table) > 71113: Quasi Repdigit 711..113 (table) > 71115: Quasi Repdigit 711..115 (table) > 71117: Depression 711..117 (table) > 71119: Quasi Repdigit 711..119 (table) > 71777: Near Repdigit 7177..77 (table) > 72221: Quasi Repdigit 722..221 (table) > 72223: Quasi Repdigit 722..223 (table) > 72226: Quasi Repdigit 722..226 (table) > 72227: Depression 722..227 (table) > 72229: Quasi Repdigit 722..229 (table) > 72777: Near Repdigit 7277..77 (table) > 73331: Quasi Repdigit 733..331 (table) > 73333: Near Repdigit 733..33 (table) > 73339: Quasi Repdigit 733..339 (table) > 73777: Near Repdigit 7377..77 (table) > 74441: Quasi Repdigit 744..441 (table) > 74442: Quasi Repdigit 744..442 (table) > 74443: Quasi Repdigit 744..443 (table) > 74444: Near Repdigit 744..44 (table) > 74445: Quasi Repdigit 744..445 (table) > 74446: Quasi Repdigit 744..446 (table) > 74447: Depression 744..447 (table) > 74448: Quasi Repdigit 744..448 (table) > 74449: Quasi Repdigit 744..449 (table) > 74777: Near Repdigit 7477..77 (table) > 75551: Quasi Repdigit 755..551 (table) > 75553: Quasi Repdigit 755..553 (table) > 75557: Depression 755..557 (table) > 75559: Quasi Repdigit 755..559 (table) > 75777: Near Repdigit 7577..77 (table) > 76661: Quasi Repdigit 766..661 (table) > 76663: Quasi Repdigit 766..663 (table) > 76664: Quasi Repdigit 766..664 (table) > 76667: Depression 766..667 (table) > 76669: Quasi Repdigit 766..669 (table) > 76777: Near Repdigit 7677..77 (table) > 77177: Near Repdigit Palindrome 77..77177..77 (table) > 77277: Near Repdigit Palindrome 77..77277..77 (table) > 77377: Near Repdigit Palindrome 77..77377..77 (table) > 77477: Near Repdigit Palindrome 77..77477..77 (table) > 77577: Near Repdigit Palindrome 77..77577..77 (table) > 77677: Near Repdigit Palindrome 77..77677..77 (table) > 77717: Near Repdigit 77..7717 (table) > 77727: Near Repdigit 77..7727 (table) > 77737: Near Repdigit 77..7737 (table) > 77747: Near Repdigit 77..7747 (table) > 77757: Near Repdigit 77..7757 (table) > 77767: Near Repdigit 77..7767 (table) > 77771: Near Repdigit 77..771 (table) > 77772: Near Repdigit 77..772 (table) > 77773: Near Repdigit 77..773 (table) > 77779: Near Repdigit 77..779 (table) > 77787: Near Repdigit 77..7787 (table) > 77797: Near Repdigit 77..7797 (table) > 77877: Near Repdigit Palindrome 77..77877..77 (table) > 77977: Near Repdigit Palindrome 77..77977..77 (table) > 78777: Near Repdigit 7877..77 (table) > 78882: Quasi Repdigit 788..882 (table) > 78883: Quasi Repdigit 788..883 (table) > 78884: Quasi Repdigit 788..884 (table) > 78885: Quasi Repdigit 788..885 (table) > 78886: Quasi Repdigit 788..886 (table) > 78887: Plateau 788..887 (table) > 78888: Near Repdigit 788..88 (table) > 78889: Quasi Repdigit 788..889 (table) > 79777: Near Repdigit 7977..77 (table) > 79991: Quasi Repdigit 799..991 (table) > 79993: Quasi Repdigit 799..993 (table) > 79997: Plateau 799..997 (table) > 79999: Near Repdigit 799..99 (table)