A055174 Cumulative counting sequence: method B (noun,adjective)-pairs with first term 2.

2, 2, 1, 2, 2, 1, 1, 2, 4, 1, 3, 2, 5, 1, 4, 4, 1, 3, 1, 2, 6, 1, 7, 4, 3, 3, 2, 5, 1, 2, 8, 1, 9, 4, 4, 3, 4, 5, 2, 6, 1, 7, 1, 2, 10, 1, 12, 4, 7, 3, 5, 5, 3, 6, 2, 7, 2, 8, 1, 9, 1, 2, 13, 1, 15, 4, 8, 3, 7, 5, 5, 6, 3, 7, 4, 8, 2, 9, 2, 10, 1, 12, 1, 2, 16, 1, 18

Offset

1,1

Comments

Segments (generated as at A055168): 2; 2,1; 2,2,1,1; 2,4,1,3,2,5; ...

Conjecture: every positive integer occurs.

Links

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

Example

Write 2, thus having 2 once, thus having 2 twice and 1 once, thus having 2 4 times and 1 3 times and 2 5 times, etc.

Mathematica

s = {2}; Do[s = Flatten[{s, {#, Count[s, #]} & /@ DeleteDuplicates[s]}], {24}]; s (* Peter J. C. Moses, Mar 21 2013 *)

Crossrefs

Cf. A055168.

Sequence in context: A192064 A225182 A014710 * A096369 A332289 A365096

Adjacent sequences: A055171 A055172 A055173 * A055175 A055176 A055177

Keyword

nonn

Author

Clark Kimberling, Apr 27 2000

Status

approved