

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
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OFFSET

3,2


COMMENTS

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,... [From Benoit Cloitre, Mar 07 2009]


LINKS

Alois P. Heinz, Table of n, a(n) for n = 3..10000


FORMULA

a(n)=1 when n=1(Mod 3), else a(n)=a(nceil(n/3))+1.
a(n) = 3 + A244040(3*(n1))  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(n1)*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



