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 A098280 Front-to-back insertion-permutation sequence; contains every finite sequence of distinct positive integers. 2
 1, 2, 1, 1, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 3, 1, 2, 1, 3, 2, 1, 2, 3, 4, 3, 2, 1, 3, 4, 2, 1, 3, 2, 4, 1, 3, 2, 1, 4, 4, 2, 3, 1, 2, 4, 3, 1, 2, 3, 4, 1, 2, 3, 1, 4, 4, 2, 1, 3, 2, 4, 1, 3, 2, 1, 4, 3, 2, 1, 3, 4, 4, 3, 1, 2, 3, 4, 1, 2, 3, 1, 4, 2, 3, 1, 2, 4, 4, 1, 3, 2, 1, 4, 3, 2, 1, 3, 4, 2, 1, 3, 2, 4, 4, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Contains every finite sequence of distinct numbers...infinitely many times. LINKS FORMULA Write 1. Then place 2 before 1 and then 2 after 1, yielding 21 and 12, as well as the first 5 terms of the sequence. Next, generate the 6 permutations of 1, 2, 3 by inserting 3 into 21 and then 12, from front-to-back, like this: 321, 231, 213 then 213, 132, 123. Next, generate the 24 permutations of 1, 2, 3, 4 by inserting 4 into the permutations of 1, 2, 3. Continue forever. EXAMPLE The permutations can be written as 1, 21, 12, 321, 231, 213, 312, 132, 123, etc. Write them in order and insert commas. CROSSREFS Cf. A098281, A030298. Sequence in context: A165475 A319420 A267134 * A005793 A183391 A029346 Adjacent sequences:  A098277 A098278 A098279 * A098281 A098282 A098283 KEYWORD nonn AUTHOR Clark Kimberling, Sep 01 2004 STATUS approved

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Last modified January 18 23:05 EST 2019. Contains 319282 sequences. (Running on oeis4.)