A108371 Table of primal compositional powers (n o)^k, where "o" denotes the primal composition operator, as illustrated in sequence A106177 and where (n o)^k = n o ... o n, with k occurrences of n.

1, 2, 1, 3, 2, 1, 4, 1, 2, 1, 5, 1, 1, 2, 1, 6, 1, 1, 1, 2, 1, 7, 6, 1, 1, 1, 2, 1, 8, 1, 6, 1, 1, 1, 2, 1, 9, 1, 1, 6, 1, 1, 1, 2, 1, 10, 9, 1, 1, 6, 1, 1, 1, 2, 1, 11, 10, 9, 1, 1, 6, 1, 1, 1, 2, 1, 12, 1, 10, 9, 1, 1, 6, 1, 1, 1, 2, 1, 13, 18, 1, 10, 9, 1, 1, 6, 1, 1, 1, 2, 1, 14, 1, 12, 1, 10, 9, 1, 1, 6

Offset: 1

Author

Jon Awbrey, Jun 07 2005

Keywords

• nonn
• tabl

Examples

			Table: T(n,k) = (n o)^k
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `T(n,k)
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ /
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 1 . 1
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ /
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 2 . 1 . 2
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ /
` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 3 . 2 . 1 . 3
` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ /
` ` ` ` ` ` ` ` ` ` ` ` ` ` 4 . 3 . 2 . 1 . 4
` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ /
` ` ` ` ` ` ` ` ` ` ` ` ` 5 . 4 . 1 . 2 . 1 . 5
` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ /
` ` ` ` ` ` ` ` ` ` ` ` 6 . 5 . 1 . 1 . 2 . 1 . 6
` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ /
` ` ` ` ` ` ` ` ` ` ` 7 . 6 . 1 . 1 . 1 . 2 . 1 . 7
` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ /
` ` ` ` ` ` ` ` ` ` 8 . 7 . 6 . 1 . 1 . 1 . 2 . 1 . 8
` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ /
` ` ` ` ` ` ` ` ` 9 . 8 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 9
` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
` ` ` ` ` ` ` `10 . 9 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 10
` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
` ` ` ` ` ` `11 . 10. 9 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 11
` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
` ` ` ` ` `12 . 11. 10. 9 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 12
` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
` ` ` ` `13 . 12. 1 . 10. 9 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 13
` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
` ` ` `14 . 13. 18. 1 . 10. 9 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 14
` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
` ` `15 . 14. 1 . 12. 1 . 10. 9 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 15
` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /
` `16 . 15. 14. 1 . 18. 1 . 10. 9 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 16
		

Links

• J. Awbrey, Riffs and Rotes

Crossrefs

Cf. A061396, A062537, A106177, A106178, A108352, A108370, A108372, A108373.