Patterns Starting With 7
Patterns that can be factored: \[[7^*07^*_8]_n=8\cdot8^{2n}-7\cdot8^{n}-1=\left(8^{n}-1\right)\left(8\cdot8^{n}+1\right)=\left(7\cdot[1^*_8]_n\right)\left([10^*1_8]_n\right)\] \[[7^*57^*_8]_n=8\cdot8^{2n}-2\cdot8^{n}-1=\left(2\cdot8^{n}-1\right)\left(4\cdot8^{n}+1\right)=\left([17^*_8]_n\right)\left([40^*1_8]_{n-1}\right)\]
Links
> 70001: Quasi Repdigit 700..001
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> 70002: Quasi Repdigit 700..002
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> 70003: Quasi Repdigit 700..003
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> 70004: Quasi Repdigit 700..004
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> 70005: Quasi Repdigit 700..005
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> 70006: Quasi Repdigit 700..006
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> 71111: Near Repdigit 711..11
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> 71113: Quasi Repdigit 711..113
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> 71115: Quasi Repdigit 711..115
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> 71117: Depression 711..117
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> 71777: Near Repdigit 7177..77
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> 72222: Near Repdigit 722..22
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> 72223: Quasi Repdigit 722..223
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> 72225: Quasi Repdigit 722..225
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> 72226: Quasi Repdigit 722..226
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> 72777: Near Repdigit 7277..77
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> 73331: Quasi Repdigit 733..331
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> 73333: Near Repdigit 733..33
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> 73335: Quasi Repdigit 733..335
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> 73337: Depression 733..337
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> 73777: Near Repdigit 7377..77
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> 74441: Quasi Repdigit 744..441
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> 74442: Quasi Repdigit 744..442
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> 74443: Quasi Repdigit 744..443
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> 74445: Quasi Repdigit 744..445
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> 74446: Quasi Repdigit 744..446
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> 74447: Depression 744..447
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> 74777: Near Repdigit 7477..77
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> 75553: Quasi Repdigit 755..553
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> 75555: Near Repdigit 755..55
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> 75777: Near Repdigit 7577..77
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> 76661: Quasi Repdigit 766..661
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> 76662: Quasi Repdigit 766..662
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> 76663: Quasi Repdigit 766..663
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> 76665: Quasi Repdigit 766..665
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> 76667: Depression 766..667
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> 76777: Near Repdigit 7677..77
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> 77177: Near Repdigit Palindrome 77..77177..77
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> 77277: Near Repdigit Palindrome 77..77277..77
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> 77377: Near Repdigit Palindrome 77..77377..77
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> 77477: Near Repdigit Palindrome 77..77477..77
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> 77677: Near Repdigit Palindrome 77..77677..77
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> 77717: Near Repdigit 77..7717
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> 77727: Near Repdigit 77..7727
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> 77737: Near Repdigit 77..7737
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> 77747: Near Repdigit 77..7747
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> 77757: Near Repdigit 77..7757
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> 77767: Near Repdigit 77..7767
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> 77771: Near Repdigit 77..771
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> 77773: Near Repdigit 77..773
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> 77775: Near Repdigit 77..775
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