Patterns Starting With 3
Patterns that can be factored: \[[3^*03^*_9]_n=3\cdot{9\cdot9^{2n}-8\cdot9^{n}-1\over8}=3\cdot\left(9^{n}-1\right)\left(9\cdot9^{n}+1\right)/8=3\cdot\left(8\cdot[1^*_9]_n\right)\left(2\cdot[4^*5_9]_n\right)/8\] \[[3^*63^*_9]_n=3\cdot{9\cdot9^{2n}+8\cdot9^{n}-1\over8}=3\cdot\left(9^{n}+1\right)\left(9\cdot9^{n}-1\right)/8=3\cdot\left(2\cdot[4^*5_9]_{n-1}\right)\left(8\cdot[1^*_9]_{n+1}\right)/8\]
Links
> 30002: Quasi Repdigit 300..002
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> 30004: Quasi Repdigit 300..004
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> 30008: Quasi Repdigit 300..008
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> 31111: Near Repdigit 311..11
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> 31112: Quasi Repdigit 311..112
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> 31114: Quasi Repdigit 311..114
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> 31115: Quasi Repdigit 311..115
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> 31116: Quasi Repdigit 311..116
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> 31117: Quasi Repdigit 311..117
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> 31333: Near Repdigit 3133..33
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> 32222: Near Repdigit 322..22
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> 32224: Quasi Repdigit 322..224
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> 32226: Quasi Repdigit 322..226
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> 32228: Quasi Repdigit 322..228
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> 32333: Near Repdigit 3233..33
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> 33133: Near Repdigit Palindrome 33..33133..33
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> 33233: Near Repdigit Palindrome 33..33233..33
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> 33313: Near Repdigit 33..3313
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> 33323: Near Repdigit 33..3323
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> 33331: Near Repdigit 33..331
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> 33332: Near Repdigit 33..332
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> 33334: Near Repdigit 33..334
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> 33335: Near Repdigit 33..335
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> 33337: Near Repdigit 33..337
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> 33338: Near Repdigit 33..338
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> 33373: Near Repdigit 33..3373
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> 33383: Near Repdigit 33..3383
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> 33433: Near Repdigit Palindrome 33..33433..33
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> 33533: Near Repdigit Palindrome 33..33533..33
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> 33733: Near Repdigit Palindrome 33..33733..33
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> 33833: Near Repdigit Palindrome 33..33833..33
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> 34333: Near Repdigit 3433..33
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> 34442: Quasi Repdigit 344..442
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> 34444: Near Repdigit 344..44
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> 34446: Quasi Repdigit 344..446
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> 35333: Near Repdigit 3533..33
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> 35551: Quasi Repdigit 355..551
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> 35553: Plateau 355..553
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> 35554: Quasi Repdigit 355..554
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> 35555: Near Repdigit 355..55
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> 35556: Quasi Repdigit 355..556
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> 35557: Quasi Repdigit 355..557
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> 35558: Quasi Repdigit 355..558
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> 36662: Quasi Repdigit 366..662
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> 36664: Quasi Repdigit 366..664
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> 37333: Near Repdigit 3733..33
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> 37771: Quasi Repdigit 377..771
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> 37772: Quasi Repdigit 377..772
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> 37773: Plateau 377..773
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> 37775: Quasi Repdigit 377..775
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> 37776: Quasi Repdigit 377..776
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> 37777: Near Repdigit 377..77
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> 37778: Quasi Repdigit 377..778
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> 38333: Near Repdigit 3833..33
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> 38882: Quasi Repdigit 388..882
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> 38884: Quasi Repdigit 388..884
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> 38886: Quasi Repdigit 388..886
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> 38888: Near Repdigit 388..88
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