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 A087088 If all the 1's are removed the sequence is the same as the original with every term one greater than before. It is the simplest nontrivial sequence with this property. 2
 1, 2, 3, 1, 4, 2, 1, 5, 3, 1, 2, 6, 1, 4, 2, 1, 3, 7, 1, 2, 5, 1, 3, 2, 1, 4, 8, 1, 2, 3, 1, 6, 2, 1, 4, 3, 1, 2, 5, 1, 9, 2, 1, 3, 4, 1, 2, 7, 1, 3, 2, 1, 5, 4, 1, 2, 3, 1, 6, 2, 1, 10, 3, 1, 2, 4, 1, 5, 2, 1, 3, 8, 1, 2, 4, 1, 3, 2, 1, 6, 5, 1, 2, 3, 1, 4, 2, 1, 7, 3, 1, 2, 11, 1, 4, 2, 1, 3, 5, 1, 2, 6, 1, 3, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,2 COMMENTS From Benoit Cloitre, Mar 07 2009: (Start) To construct the sequence: Step 1: start from a sequence of 1 and leave 2 undefined places between two 1 giving: 1,(),(),1,(),(),1,(),(),1,(),(),1,(),(),1,... Step 2: replace the first undefined place with a 2 and leave 2 undefined places between two 2 giving: 1,2,(),1,(),2,1,(),(),1,2,(),1,(),2,1,... Step 3: replace the first undefined place with a 3 and leave 2 undefined places between two 3 giving: 1,2,3,1,(),2,1,(),3,1,2,(),1,(),2,1,... Step 4: replace the first undefined place with a 4 and leave 2 undefined places between two 4 giving: 1,2,3,1,4,2,1,(),3,1,2,(),1,4,2,1,... Iterating the process indefinitely yields the sequence: 1,2,3,1,4,2,1,5,3,1,2,6,1,4,2,1,... (End) LINKS Alois P. Heinz, Table of n, a(n) for n = 3..10000 FORMULA a(n) = 1 when n == 1 (mod 3), otherwise a(n) = a(n-ceiling(n/3)) + 1. a(n) = 3 + A244040(3*(n-1)) - A244040(3*n). - Tom Edgar and James Van Alstine, Aug 04 2014 CROSSREFS Cf. A001511, A244040. Records are given by A061419: a(A061419(n))=n, where A061419(n) = ceiling(A061419(n-1)*3/2). Sequence in context: A214967 A195164 A223025 * A255250 A273620 A104705 Adjacent sequences:  A087085 A087086 A087087 * A087089 A087090 A087091 KEYWORD nonn,easy AUTHOR Enrico T. Federighi (rico125162(AT)aol.com), Aug 08 2003 EXTENSIONS More terms from Paul D. Hanna, Aug 21 2003 STATUS approved

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Last modified July 22 10:03 EDT 2019. Contains 325219 sequences. (Running on oeis4.)