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

1,1

Comments

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

Conjecture: every positive integer occurs.

Links

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

Example

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.

Mathematica

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

Crossrefs

Cf. A055168.

Sequence in context: A350674 A321591 A023401 * A030788 A087709 A106642

Adjacent sequences: A055177 A055178 A055179 * A055181 A055182 A055183

Keyword

nonn

Author

Clark Kimberling, Apr 27 2000

Status

approved