OFFSET
1,4
COMMENTS
Conjectures: limit as n goes to infinity of max {a(k) : 1<=k<=n}/sqrt(n) = 2;
-3 < a(n) - 2*sqrt(n) < 3 for all n;
there are infinitely many n such that a(n)=a(n+1). - Benoit Cloitre, Jan 30 2003
After starting with 1, successive segments are generated in adjective-before-noun pairs as in A055186 (i.e., the noun-integers are in increasing order). See A217780 for the sequence originally placed here, in which the noun-integers are in order of 1st occurrence. - Clark Kimberling, Mar 24 2013
LINKS
Seiichi Manyama, Table of n, a(n) for n = 1..10000
EXAMPLE
After writing 1, pairs, written vertically, are as shown:
1..1..3..4 1..6 2 1..8 1 3 2 1..
...1..1..1 3..1 3 4..1 2 3 4 6..
MATHEMATICA
s = {1}; Do[s = Flatten[{s, {Count[s, #], #} & /@ Union[s]}], {14}]; s (* A055187 *) (* Peter J. C. Moses, Mar 21 2013 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Apr 27 2000
EXTENSIONS
Corrected and extended by Benoit Cloitre, Jan 30 2003
STATUS
approved