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 M&M (Posted on 2004-11-26)

What comes next in the following sequence?

1212210202001, 224000000, 11333311, 623351, 290221, ...?

 See The Solution Submitted by Erik O. Rating: 2.0000 (2 votes)

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 solution | Comment 1 of 4

The representation of one million in odd bases, starting with 3 are:

`3            12122102020015            2240000007            113333119            178366111           62335113           29022115           14B46A17           BG93919           7CF1B21           52KC123           3D48625           2E00027           1NLK129           1C01M31           12HI233           RR9135           NBBF37           JRH139           GXI141           EKA43           COZZ (that's a letter O)`

where A, B, C, etc. are used to represent values of 10, 11, 12, etc., so the next one in sequence is 14B46A.

Alternatively you might want to represent this as 14(11)46(10), as in the following table:

`15           14(11)46(10)17           (11)(16)93919           7(12)(15)1(11)21           52(20)(12)123           3(13)48625           2(14)00027           1(23)(21)(20)129           1(12)01(22)31           12(17)(18)233           (27)(27)9135           (23)(11)(11)(15)37           (19)(27)(17)139           (16)(33)(18)141           (14)(20)(36)(10)43           (12)(24)(35)(35)45           (10)(43)(37)(10)47           9(29)(32)(28)49           8(24)(24)851           7(27)(23)(43)53           6(37)(52)(49)55           60(31)(45)57           5(22)(44)(49)59           4(51)(16)961           4(24)(45)(27)63           3(62)(60)165           3(41)(44)(40)67           3(21)(51)(25)69           332(52)71           2(56)(26)(36)73           2(41)(47)(46)75           2(27)(58)(25)77           2(14)(51)179           22(18)(18)81           1(71)(33)(55)83           1(62)(13)(16)85           1(53)(34)(60)87           1(45)(10)(22)89           1(37)(21)(85)91           1(29)(69)193           1(22)(57)(64)95           1(15)(76)(30)97           19(27)(27)99           1331`

 Posted by Charlie on 2004-11-26 20:08:07

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