Patterns Starting With 5
Patterns that can be factored: \[[5^*05^*_9]_n=5\cdot{9\cdot9^{2n}-8\cdot9^{n}-1\over8}=5\cdot\left(9^{n}-1\right)\left(9\cdot9^{n}+1\right)/8=5\cdot\left(8\cdot[1^*_9]_n\right)\left(2\cdot[4^*5_9]_n\right)/8\] \[[5^*35^*_9]_n={45\cdot9^{2n}-16\cdot9^{n}-5\over8}=\left(5\cdot9^{n}+1\right)\left(9\cdot9^{n}-5\right)/8=\left(2\cdot[24^*5_9]_{n-1}\right)\left(4\cdot[2^*1_9]_n\right)/8\] \[[5^*75^*_9]_n={45\cdot9^{2n}+16\cdot9^{n}-5\over8}=\left(5\cdot9^{n}-1\right)\left(9\cdot9^{n}+5\right)/8=\left(4\cdot[12^*_9]_n\right)\left(2\cdot[4^*7_9]_n\right)/8\]
Links
> 50002: Quasi Repdigit 500..002
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> 50004: Quasi Repdigit 500..004
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> 50006: Quasi Repdigit 500..006
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> 50008: Quasi Repdigit 500..008
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> 51111: Near Repdigit 511..11
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> 51112: Quasi Repdigit 511..112
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> 51113: Quasi Repdigit 511..113
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> 51114: Quasi Repdigit 511..114
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> 51115: Depression 511..115
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> 51116: Quasi Repdigit 511..116
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> 51117: Quasi Repdigit 511..117
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> 51118: Quasi Repdigit 511..118
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> 51555: Near Repdigit 5155..55
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> 52222: Near Repdigit 522..22
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> 52228: Quasi Repdigit 522..228
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> 52555: Near Repdigit 5255..55
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> 53331: Quasi Repdigit 533..331
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> 53332: Quasi Repdigit 533..332
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> 53334: Quasi Repdigit 533..334
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> 53335: Depression 533..335
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> 53336: Quasi Repdigit 533..336
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> 53337: Quasi Repdigit 533..337
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> 53338: Quasi Repdigit 533..338
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> 53555: Near Repdigit 5355..55
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> 54442: Quasi Repdigit 544..442
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> 54444: Near Repdigit 544..44
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> 54446: Quasi Repdigit 544..446
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> 54448: Quasi Repdigit 544..448
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> 54555: Near Repdigit 5455..55
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> 55155: Near Repdigit Palindrome 55..55155..55
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> 55255: Near Repdigit Palindrome 55..55255..55
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> 55455: Near Repdigit Palindrome 55..55455..55
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> 55515: Near Repdigit 55..5515
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> 55525: Near Repdigit 55..5525
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> 55535: Near Repdigit 55..5535
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> 55545: Near Repdigit 55..5545
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> 55551: Near Repdigit 55..551
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> 55552: Near Repdigit 55..552
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> 55554: Near Repdigit 55..554
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> 55557: Near Repdigit 55..557
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> 55558: Near Repdigit 55..558
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> 55565: Near Repdigit 55..5565
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> 55575: Near Repdigit 55..5575
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> 55585: Near Repdigit 55..5585
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> 55655: Near Repdigit Palindrome 55..55655..55
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> 55855: Near Repdigit Palindrome 55..55855..55
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> 56555: Near Repdigit 5655..55
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> 56662: Quasi Repdigit 566..662
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> 56664: Quasi Repdigit 566..664
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> 56666: Near Repdigit 566..66
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> 56668: Quasi Repdigit 566..668
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> 57555: Near Repdigit 5755..55
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> 57771: Quasi Repdigit 577..771
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> 57773: Quasi Repdigit 577..773
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> 57774: Quasi Repdigit 577..774
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> 57775: Plateau 577..775
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> 57776: Quasi Repdigit 577..776
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> 57777: Near Repdigit 577..77
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> 57778: Quasi Repdigit 577..778
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> 58555: Near Repdigit 5855..55
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> 58882: Quasi Repdigit 588..882
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> 58884: Quasi Repdigit 588..884
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> 58888: Near Repdigit 588..88
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