A055180 Cumulative counting sequence: method B (noun,adjective)-pairs with first term 4.

4, 4, 1, 4, 2, 1, 1, 4, 3, 1, 3, 2, 1, 4, 4, 1, 5, 2, 2, 3, 2, 4, 6, 1, 6, 2, 5, 3, 3, 5, 1, 4, 7, 1, 8, 2, 6, 3, 5, 5, 3, 6, 2, 4, 8, 1, 9, 2, 8, 3, 7, 5, 5, 6, 4, 7, 1, 8, 1, 4, 10, 1, 12, 2, 9, 3, 8, 5, 7, 6, 5, 7, 3, 8, 4, 9, 1, 4, 12, 1, 14, 2, 10, 3, 10, 5, 9

Offset: 1

Author

Clark Kimberling, Apr 27 2000

Keywords

• nonn

Comments

Segments (generated as at A055168): 4; 4,1; 4,2,1,1; 4,3,1,3,2,1; ...

Conjecture: every positive integer occurs.

Examples

			Write 4, thus having 4 once, thus having 4 twice and 1 once, thus having 4 3 times and 1 3 times and 2 once, etc.
		

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A055168.

Programs

Mathematica

s = {4}; Do[s = Flatten[{s, {#,Count[s, #]} & /@ DeleteDuplicates[s]}], {24}]; s (* Peter J. C. Moses, Mar 21 2013 *)