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A055188
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Cumulative counting sequence: method A (adjective-before-noun) pairs, starting with 2.
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1
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2, 1, 2, 2, 2, 1, 1, 4, 2, 3, 1, 5, 2, 4, 1, 1, 4, 1, 3, 6, 2, 7, 1, 3, 4, 2, 3, 1, 5, 8, 2, 9, 1, 4, 4, 4, 3, 2, 5, 1, 6, 1, 7, 10, 2, 12, 1, 7, 4, 5, 3, 3, 5, 2, 6, 2, 7, 1, 8, 1, 9, 13, 2, 15, 1, 8, 4, 7, 3, 5, 5, 3, 6, 4, 7, 2, 8, 2, 9, 1, 10, 1, 12, 16, 2, 18
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OFFSET
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1,1
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COMMENTS
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Segments (generated as at A217760): 2; 1,2; 2,2,1,1; 4,2,3,1; 5,2,4,1,1,4,1,3; ... The 4th segment is read "4 2's and 3 1's" as a record of what was previously written; 4,2 are adjectives and 2 1 are nouns. Conjecture: every nonnegative integer occurs. - Clark Kimberling, Mar 25 2013
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LINKS
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EXAMPLE
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Write 2, thus having 1 2, thus having 2 2's and 1 1, thus having 4 2's and 3 1's, etc.
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MATHEMATICA
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s = {2}; Do[s = Flatten[{s, {Count[s, #], #} & /@ DeleteDuplicates[s]}], {14}]; s (* Peter J. C. Moses, Mar 21 2013 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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