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Patterns Starting With 5

Patterns that can be factored: \[[5^*05^*_8]_n=5\cdot{8\cdot8^{2n}-7\cdot8^{n}-1\over7}=5\cdot\left(8^{n}-1\right)\left(8\cdot8^{n}+1\right)/7=5\cdot\left(7\cdot[1^*_8]_n\right)\left([10^*1_8]_n\right)/7\]

Links

> 50001: Quasi Repdigit 500..001 (table) > 50003: Quasi Repdigit 500..003 (table) > 50004: Quasi Repdigit 500..004 (table) > 50006: Quasi Repdigit 500..006 (table) > 50007: Quasi Repdigit 500..007 (table) > 51111: Near Repdigit 511..11 (table) > 51113: Quasi Repdigit 511..113 (table) > 51117: Quasi Repdigit 511..117 (table) > 51555: Near Repdigit 5155..55 (table) > 52221: Quasi Repdigit 522..221 (table) > 52222: Near Repdigit 522..22 (table) > 52223: Quasi Repdigit 522..223 (table) > 52224: Quasi Repdigit 522..224 (table) > 52225: Depression 522..225 (table) > 52226: Quasi Repdigit 522..226 (table) > 52227: Quasi Repdigit 522..227 (table) > 52555: Near Repdigit 5255..55 (table) > 53331: Quasi Repdigit 533..331 (table) > 53333: Near Repdigit 533..33 (table) > 53335: Depression 533..335 (table) > 53337: Quasi Repdigit 533..337 (table) > 53555: Near Repdigit 5355..55 (table) > 54441: Quasi Repdigit 544..441 (table) > 54443: Quasi Repdigit 544..443 (table) > 54446: Quasi Repdigit 544..446 (table) > 54447: Quasi Repdigit 544..447 (table) > 54555: Near Repdigit 5455..55 (table) > 55155: Near Repdigit Palindrome 55..55155..55 (table) > 55255: Near Repdigit Palindrome 55..55255..55 (table) > 55355: Near Repdigit Palindrome 55..55355..55 (table) > 55455: Near Repdigit Palindrome 55..55455..55 (table) > 55515: Near Repdigit 55..5515 (table) > 55525: Near Repdigit 55..5525 (table) > 55535: Near Repdigit 55..5535 (table) > 55545: Near Repdigit 55..5545 (table) > 55551: Near Repdigit 55..551 (table) > 55553: Near Repdigit 55..553 (table) > 55557: Near Repdigit 55..557 (table) > 55565: Near Repdigit 55..5565 (table) > 55575: Near Repdigit 55..5575 (table) > 55655: Near Repdigit Palindrome 55..55655..55 (table) > 55755: Near Repdigit Palindrome 55..55755..55 (table) > 56555: Near Repdigit 5655..55 (table) > 56662: Quasi Repdigit 566..662 (table) > 56663: Quasi Repdigit 566..663 (table) > 56664: Quasi Repdigit 566..664 (table) > 56665: Plateau 566..665 (table) > 56666: Near Repdigit 566..66 (table) > 56667: Quasi Repdigit 566..667 (table) > 57555: Near Repdigit 5755..55 (table) > 57771: Quasi Repdigit 577..771 (table) > 57773: Quasi Repdigit 577..773 (table) > 57777: Near Repdigit 577..77 (table)