A114510 a(1) = 0. s(0) = {0}. s(n) = s(n-1) 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.

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

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 this sequence.

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: A351982 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