

A114510


a(1) = 0. s(0) = {0}. s(n) = s(n1) U s(a(n)) U {n}, where U represents a concatenation of finite sequences. The sequence {a(n)} is the limit of s(m) as m > infinity.


2



0, 0, 1, 0, 2, 0, 0, 1, 3, 0, 4, 0, 0, 1, 0, 2, 5, 0, 6, 0, 7, 0, 0, 1, 8, 0, 0, 1, 0, 2, 0, 0, 1, 3, 9, 0, 10, 0, 0, 1, 0, 2, 0, 0, 1, 3, 0, 4, 11, 0, 12, 0, 13, 0, 0, 1, 14, 0, 15, 0, 0, 1, 0, 2, 16, 0, 0, 1, 0, 2, 0, 0, 1, 3, 0, 4, 0, 0, 1, 0, 2, 5, 17, 0, 18, 0, 0, 1, 0, 2, 0, 0, 1, 3, 0, 4, 0, 0, 1, 0
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OFFSET

1,5


COMMENTS

Number of terms in s(n) is A114512(n).


LINKS

Table of n, a(n) for n=1..100.


EXAMPLE

s(1) = {0,0,1}, s(2) = {0,0,1,0,2}. s(3) = s(2) U s(a(3)) U {3} =
{0,0,1,0,2} U {0,0,1} U {3} = {0,0,1,0,2,0,0,1,3}, which are the first 9 terms of {a(n)}.


MATHEMATICA

s[0] = {0}; s[n_] := s[n] = Flatten[{s[n  1], s[s[n  1][[n]]], {n}}]; s[19] (* Ray Chandler, Dec 05 2005 *)


CROSSREFS

Cf. A114511, A114512.
Sequence in context: A297617 A029362 A216599 * A325466 A077029 A052553
Adjacent sequences: A114507 A114508 A114509 * A114511 A114512 A114513


KEYWORD

easy,nonn


AUTHOR

Leroy Quet, Dec 03 2005


EXTENSIONS

Extended by Ray Chandler, Dec 05 2005


STATUS

approved



