A055177 Cumulative counting sequence: method B (noun,adjective)-pairs with first term 3.

3, 3, 1, 3, 2, 1, 1, 3, 3, 1, 3, 2, 1, 3, 6, 1, 5, 2, 2, 3, 7, 1, 6, 2, 4, 6, 1, 5, 1, 3, 8, 1, 9, 2, 5, 6, 3, 5, 2, 7, 1, 4, 1, 3, 10, 1, 12, 2, 7, 6, 4, 5, 4, 7, 2, 4, 2, 8, 1, 9, 1, 3, 11, 1, 15, 2, 10, 6, 5, 5, 5, 7, 4, 4, 5, 8, 2, 9, 2, 10, 1, 12, 1, 3, 12, 1

Offset

1,1

Comments

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

Conjecture: every positive integer occurs.

Links

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

Example

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

Mathematica

s = {3}; Do[s = Flatten[{s, {#, Count[s, #]} & /@ DeleteDuplicates[s]}], {24}]; s (* Peter J. C. Moses, Mar 21 2013 *)

Crossrefs

Cf. A055168.

Sequence in context: A133695 A138114 A124330 * A030778 A324078 A068119

Adjacent sequences: A055174 A055175 A055176 * A055178 A055179 A055180

Keyword

nonn

Author

Clark Kimberling, Apr 27 2000

Status

approved