tables > nrr > 10 > 6

Patterns Starting With 6

Patterns that can be factored: \[[6^*06^*_{10}]_n=2\cdot{10\cdot10^{2n}-9\cdot10^{n}-1\over3}=2\cdot\left(10^{n}-1\right)\left(10\cdot10^{n}+1\right)/3=2\cdot\left(9\cdot[1^*_{10}]_n\right)\left([10^*1_{10}]_n\right)/3\] \[[6^*46^*_{10}]_n=2\cdot{10\cdot10^{2n}-3\cdot10^{n}-1\over3}=2\cdot\left(2\cdot10^{n}-1\right)\left(5\cdot10^{n}+1\right)/3=2\cdot\left([19^*_{10}]_n\right)\left(3\cdot[16^*7_{10}]_{n-1}\right)/3\] \[[6^*86^*_{10}]_n=2\cdot{10\cdot10^{2n}+3\cdot10^{n}-1\over3}=2\cdot\left(2\cdot10^{n}+1\right)\left(5\cdot10^{n}-1\right)/3=2\cdot\left(3\cdot[6^*7_{10}]_{n-1}\right)\left([49^*_{10}]_n\right)/3\] \[[6^*56^*_{10}]_n={20\cdot10^{2n}-3\cdot10^{n}-2\over3}=\left(4\cdot10^{n}+1\right)\left(5\cdot10^{n}-2\right)/3=\left([40^*1_{10}]_{n-1}\right)\left(6\cdot[83^*_{10}]_{n-1}\right)/3\] \[[6^*76^*_{10}]_n={20\cdot10^{2n}+3\cdot10^{n}-2\over3}=\left(4\cdot10^{n}-1\right)\left(5\cdot10^{n}+2\right)/3=\left(3\cdot[13^*_{10}]_n\right)\left([10^*4_{10}]_n/2\right)/3\]

Links

> 60001: Quasi Repdigit 600..001 (table) > 60005: Quasi Repdigit 600..005 (table) > 60007: Quasi Repdigit 600..007 (table) > 61111: Near Repdigit 611..11 (table) > 61113: Quasi Repdigit 611..113 (table) > 61117: Quasi Repdigit 611..117 (table) > 61118: Quasi Repdigit 611..118 (table) > 61119: Quasi Repdigit 611..119 (table) > 61666: Near Repdigit 6166..66 (table) > 62221: Quasi Repdigit 622..221 (table) > 62225: Quasi Repdigit 622..225 (table) > 62227: Quasi Repdigit 622..227 (table) > 62229: Quasi Repdigit 622..229 (table) > 63331: Quasi Repdigit 633..331 (table) > 63332: Quasi Repdigit 633..332 (table) > 63334: Quasi Repdigit 633..334 (table) > 63335: Quasi Repdigit 633..335 (table) > 63337: Quasi Repdigit 633..337 (table) > 63338: Quasi Repdigit 633..338 (table) > 64441: Quasi Repdigit 644..441 (table) > 64443: Quasi Repdigit 644..443 (table) > 64447: Quasi Repdigit 644..447 (table) > 64449: Quasi Repdigit 644..449 (table) > 65551: Quasi Repdigit 655..551 (table) > 65552: Quasi Repdigit 655..552 (table) > 65553: Quasi Repdigit 655..553 (table) > 65554: Quasi Repdigit 655..554 (table) > 65556: Depression 655..556 (table) > 65557: Quasi Repdigit 655..557 (table) > 65558: Quasi Repdigit 655..558 (table) > 65559: Quasi Repdigit 655..559 (table) > 65666: Near Repdigit 6566..66 (table) > 66166: Near Repdigit Palindrome 66..66166..66 (table) > 66616: Near Repdigit 66..6616 (table) > 66661: Near Repdigit 66..661 (table) > 66667: Near Repdigit 66..667 (table) > 67666: Near Repdigit 6766..66 (table) > 67772: Quasi Repdigit 677..772 (table) > 67773: Quasi Repdigit 677..773 (table) > 67774: Quasi Repdigit 677..774 (table) > 67775: Quasi Repdigit 677..775 (table) > 67776: Plateau 677..776 (table) > 67777: Near Repdigit 677..77 (table) > 67778: Quasi Repdigit 677..778 (table) > 67779: Quasi Repdigit 677..779 (table) > 68881: Quasi Repdigit 688..881 (table) > 68883: Quasi Repdigit 688..883 (table) > 68885: Quasi Repdigit 688..885 (table) > 68887: Quasi Repdigit 688..887 (table) > 68889: Quasi Repdigit 688..889 (table) > 69991: Quasi Repdigit 699..991 (table) > 69992: Quasi Repdigit 699..992 (table) > 69994: Quasi Repdigit 699..994 (table) > 69995: Quasi Repdigit 699..995 (table) > 69997: Quasi Repdigit 699..997 (table) > 69998: Quasi Repdigit 699..998 (table)