[seqfan] a(n) rhymes with the sum of the a(n) terms

[Eric Angelini]

Hello Seqfans,
could someone check and extend -- if this is of interest?
Best,
É.
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« The sum of the first a(n) terms of S ends with a(n) »

(in building the sequence, always use the smallest integer
 not yet present in S and not leading to a contradiction)

    n = 1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  16  17  18  19   20   21
    S = 1  3  9  5  7  8 14 11 21  12  20 101  15  87 201  17  85  19  83  301  401 
  Sum = 1  4 13 18 25 33 47 58 79  91 111 212 227 314 515 532 617 636 719 1020 1621
rhyme : *     *     *     *  *  *      **  **      **  **      **      **   **   **

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