Patterns Starting With 7
Patterns that can be factored: \[[7^*07^*_9]_n=7\cdot{9\cdot9^{2n}-8\cdot9^{n}-1\over8}=7\cdot\left(9^{n}-1\right)\left(9\cdot9^{n}+1\right)/8=7\cdot\left(8\cdot[1^*_9]_n\right)\left(2\cdot[4^*5_9]_n\right)/8\] \[[7^*27^*_9]_n={63\cdot9^{2n}-40\cdot9^{n}-7\over8}=\left(7\cdot9^{n}+1\right)\left(9\cdot9^{n}-7\right)/8=\left(8\cdot[7^*8_9]_{n-1}\right)\left(2\cdot[4^*1_9]_n\right)/8\]
Links
> 70002: Quasi Repdigit 700..002
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> 70004: Quasi Repdigit 700..004
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> 70006: Quasi Repdigit 700..006
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> 70008: Quasi Repdigit 700..008
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> 71111: Near Repdigit 711..11
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> 71112: Quasi Repdigit 711..112
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> 71114: Quasi Repdigit 711..114
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> 71115: Quasi Repdigit 711..115
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> 71117: Depression 711..117
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> 71118: Quasi Repdigit 711..118
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> 71777: Near Repdigit 7177..77
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> 72222: Near Repdigit 722..22
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> 72224: Quasi Repdigit 722..224
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> 72226: Quasi Repdigit 722..226
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> 72228: Quasi Repdigit 722..228
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> 72777: Near Repdigit 7277..77
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> 73331: Quasi Repdigit 733..331
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> 73332: Quasi Repdigit 733..332
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> 73333: Near Repdigit 733..33
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> 73334: Quasi Repdigit 733..334
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> 73335: Quasi Repdigit 733..335
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> 73336: Quasi Repdigit 733..336
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> 73337: Depression 733..337
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> 73338: Quasi Repdigit 733..338
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> 73777: Near Repdigit 7377..77
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> 74444: Near Repdigit 744..44
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> 74448: Quasi Repdigit 744..448
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> 74777: Near Repdigit 7477..77
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> 75551: Quasi Repdigit 755..551
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> 75552: Quasi Repdigit 755..552
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> 75553: Quasi Repdigit 755..553
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> 75554: Quasi Repdigit 755..554
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> 75555: Near Repdigit 755..55
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> 75556: Quasi Repdigit 755..556
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> 75557: Depression 755..557
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> 75558: Quasi Repdigit 755..558
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> 75777: Near Repdigit 7577..77
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> 76662: Quasi Repdigit 766..662
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> 76664: Quasi Repdigit 766..664
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> 76668: Quasi Repdigit 766..668
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> 76777: Near Repdigit 7677..77
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> 77177: Near Repdigit Palindrome 77..77177..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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> 77577: Near Repdigit Palindrome 77..77577..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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> 77772: Near Repdigit 77..772
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> 77774: Near Repdigit 77..774
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> 77775: Near Repdigit 77..775
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> 77778: Near Repdigit 77..778
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> 77787: Near Repdigit 77..7787
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> 77877: Near Repdigit Palindrome 77..77877..77
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> 78777: Near Repdigit 7877..77
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> 78882: Quasi Repdigit 788..882
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> 78884: Quasi Repdigit 788..884
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> 78886: Quasi Repdigit 788..886
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> 78888: Near Repdigit 788..88
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