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 Next Numbers Please #3 (Posted on 2004-06-01)
What are the next two numbers in this sequence?
1, 1, 7, 3, 23, 23, 111, 15, 351, 415, __, __

 Submitted by Brian Smith Rating: 3.9091 (11 votes) Solution: (Hide) Write each number in base two. Add leading zeros to every number so the nth number has n digits. ```1 =1 1 =01 7 =111 3 =0011 23 =10111 23 =010111 111=1101111 15 =00001111 351=101011111 415=0110011111 ``` Each column has a pattern, n 1's followed by n 0's repeatedly. For example the third column is 111000111000111000... Continuing the pattern: ```1 = 1 01 = 1 111 = 7 0011 = 3 10111 = 23 010111 = 23 1101111 = 111 00001111 = 15 101011111 = 351 0110011111 = 415 11100111111 = 1855 000100111111 = 319 ``` The next two numbers are 1855 and 319 Sequence 1,1,7,3,23,23,111,15,351,415,1855,319

 Subject Author Date Solution Dej Mar 2008-09-29 12:13:14 answer K Sengupta 2008-09-29 06:21:17 wrong formula Kerry 2004-06-17 12:05:26 re: More terms in the sequence Erik O. 2004-06-14 10:57:12 I GOT IT!!! Erik O. 2004-06-11 13:54:24 More terms in the sequence Brian Smith 2004-06-11 13:01:14 another crazy solution Danny 2004-06-11 09:03:39 re: The numbers I was looking for Danny 2004-06-11 08:23:39 re: The numbers I was looking for Erik O. 2004-06-11 08:13:03 The numbers I was looking for Brian Smith 2004-06-10 17:46:47 re(2): Solution--another guess... Erik O. 2004-06-10 16:14:00 re(2): Solution--another guess... Danny 2004-06-10 15:42:03 re: Solution--another guess... Brian Smith 2004-06-10 13:34:03 Solution--another guess... Erik O. 2004-06-10 13:08:07 re(2): Binary Brian Smith 2004-06-10 11:47:34 Symbol help for previous post Telly 2004-06-09 18:48:56 Solution Guess.... Telly 2004-06-09 18:46:49 re: Binary Erik O. 2004-06-09 12:41:39 Binary Brian Smith 2004-06-07 17:24:32 re: Some help - binary! Eric 2004-06-07 13:17:27 Some help - binary! Danny 2004-06-07 10:41:02 Some thoughts... Eric 2004-06-06 15:00:08 More thoughts Eric 2004-06-06 14:58:13 Killing me Kerry 2004-06-04 15:20:05 I agree with wow.... half guess.... Telly 2004-06-04 12:20:30 re: some observations... Brian Smith 2004-06-03 11:51:54 re: some observations... Erik 2004-06-02 17:32:56 some observations... Erik 2004-06-02 16:12:50 re: wow... Danny 2004-06-02 14:16:56 wow... Victor Zapana 2004-06-01 20:02:27

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