tables > nrr > 10 > 4

Patterns Starting With 4

Patterns that can be factored: \[[4^*04^*_{10}]_n=4\cdot{10\cdot10^{2n}-9\cdot10^{n}-1\over9}=4\cdot\left(10^{n}-1\right)\left(10\cdot10^{n}+1\right)/9=4\cdot\left(9\cdot[1^*_{10}]_n\right)\left([10^*1_{10}]_n\right)/9\] \[[4^*84^*_{10}]_n=4\cdot{10\cdot10^{2n}+9\cdot10^{n}-1\over9}=4\cdot\left(10^{n}+1\right)\left(10\cdot10^{n}-1\right)/9=4\cdot\left([10^*1_{10}]_{n-1}\right)\left(9\cdot[1^*_{10}]_{n+1}\right)/9\] \[[4^*14^*_{10}]_n={40\cdot10^{2n}-27\cdot10^{n}-4\over9}=\left(5\cdot10^{n}-4\right)\left(8\cdot10^{n}+1\right)/9=\left([9^*2_{10}]_n/2\right)\left(9\cdot[8^*9_{10}]_{n-1}\right)/9\] \[[4^*74^*_{10}]_n={40\cdot10^{2n}+27\cdot10^{n}-4\over9}=\left(5\cdot10^{n}+4\right)\left(8\cdot10^{n}-1\right)/9=\left(9\cdot[1^*2_{10}]_n/2\right)\left([79^*_{10}]_n\right)/9\]

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> 40001: Quasi Repdigit 400..001 (table) > 40003: Quasi Repdigit 400..003 (table) > 40007: Quasi Repdigit 400..007 (table) > 40009: Quasi Repdigit 400..009 (table) > 41111: Near Repdigit 411..11 (table) > 41112: Quasi Repdigit 411..112 (table) > 41113: Quasi Repdigit 411..113 (table) > 41114: Depression 411..114 (table) > 41116: Quasi Repdigit 411..116 (table) > 41117: Quasi Repdigit 411..117 (table) > 41118: Quasi Repdigit 411..118 (table) > 41119: Quasi Repdigit 411..119 (table) > 41444: Near Repdigit 4144..44 (table) > 42221: Quasi Repdigit 422..221 (table) > 42223: Quasi Repdigit 422..223 (table) > 42225: Quasi Repdigit 422..225 (table) > 42227: Quasi Repdigit 422..227 (table) > 42229: Quasi Repdigit 422..229 (table) > 43331: Quasi Repdigit 433..331 (table) > 43333: Near Repdigit 433..33 (table) > 43334: Depression 433..334 (table) > 43336: Quasi Repdigit 433..336 (table) > 43337: Quasi Repdigit 433..337 (table) > 43339: Quasi Repdigit 433..339 (table) > 43444: Near Repdigit 4344..44 (table) > 44344: Near Repdigit Palindrome 44..44344..44 (table) > 44414: Near Repdigit 44..4414 (table) > 44434: Near Repdigit 44..4434 (table) > 44441: Near Repdigit 44..441 (table) > 44443: Near Repdigit 44..443 (table) > 44447: Near Repdigit 44..447 (table) > 44449: Near Repdigit 44..449 (table) > 44474: Near Repdigit 44..4474 (table) > 44494: Near Repdigit 44..4494 (table) > 44544: Near Repdigit Palindrome 44..44544..44 (table) > 44944: Near Repdigit Palindrome 44..44944..44 (table) > 45444: Near Repdigit 4544..44 (table) > 45552: Quasi Repdigit 455..552 (table) > 45553: Quasi Repdigit 455..553 (table) > 45554: Plateau 455..554 (table) > 45556: Quasi Repdigit 455..556 (table) > 45557: Quasi Repdigit 455..557 (table) > 45558: Quasi Repdigit 455..558 (table) > 45559: Quasi Repdigit 455..559 (table) > 46661: Quasi Repdigit 466..661 (table) > 46663: Quasi Repdigit 466..663 (table) > 46667: Quasi Repdigit 466..667 (table) > 47444: Near Repdigit 4744..44 (table) > 47771: Quasi Repdigit 477..771 (table) > 47772: Quasi Repdigit 477..772 (table) > 47774: Plateau 477..774 (table) > 47776: Quasi Repdigit 477..776 (table) > 47777: Near Repdigit 477..77 (table) > 47778: Quasi Repdigit 477..778 (table) > 47779: Quasi Repdigit 477..779 (table) > 48881: Quasi Repdigit 488..881 (table) > 48883: Quasi Repdigit 488..883 (table) > 48887: Quasi Repdigit 488..887 (table) > 48889: Quasi Repdigit 488..889 (table) > 49991: Quasi Repdigit 499..991 (table) > 49993: Quasi Repdigit 499..993 (table) > 49994: Plateau 499..994 (table) > 49997: Quasi Repdigit 499..997 (table) > 49999: Near Repdigit 499..99 (table)