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A055189
Cumulative counting sequence: method A (adjective-before-noun)-pairs, starting with 3.
1
3, 1, 3, 2, 3, 1, 1, 3, 3, 3, 1, 1, 2, 6, 3, 5, 1, 2, 2, 7, 3, 6, 1, 4, 2, 1, 6, 1, 5, 8, 3, 9, 1, 5, 2, 3, 6, 2, 5, 1, 7, 1, 4, 10, 3, 12, 1, 7, 2, 4, 6, 4, 5, 2, 7, 2, 4, 1, 8, 1, 9, 11, 3, 15, 1, 10, 2, 5, 6, 5, 5, 4, 7, 5, 4, 2, 8, 2, 9, 1, 10, 1, 12, 12, 3, 18
OFFSET
1,1
COMMENTS
Segments (generated as at A217760): 3; 1,3; 2,3,1,1; 3,3,3,1,1,2; ...
The 4th segment is read "3 3's and 3 1's and 1 2" as a record of what was previously written; 3 3 1 are adjectives and 3 1 2 are nouns. Conjecture: every nonnegative integer occurs. - Clark Kimberling, Mar 25 2013
LINKS
EXAMPLE
Write 3, thus having 1 3, thus having 2 3's and 1 1, thus having 3 3's and 3 1's and 1 2, etc.
MATHEMATICA
s = {3}; Do[s = Flatten[{s, {Count[s, #], #} & /@ DeleteDuplicates[s]}], {14}]; s (* Peter J. C. Moses, Mar 21 2013 *)
CROSSREFS
Sequence in context: A367454 A126682 A016571 * A106824 A317203 A229215
KEYWORD
nonn
AUTHOR
Clark Kimberling, Apr 27 2000
STATUS
approved