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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.
12

%I #6 Nov 25 2013 08:58:18

%S 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,

%T 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,

%U 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

%N 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.

%H J. Awbrey, <a href="https://oeis.org/wiki/Riffs_and_Rotes">Riffs and Rotes</a>

%e Table: T(n,k) = (n o)^k

%e ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `T(n,k)

%e ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ /

%e ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 1 . 1

%e ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ /

%e ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 2 . 1 . 2

%e ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ /

%e ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` 3 . 2 . 1 . 3

%e ` ` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ /

%e ` ` ` ` ` ` ` ` ` ` ` ` ` ` 4 . 3 . 2 . 1 . 4

%e ` ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ /

%e ` ` ` ` ` ` ` ` ` ` ` ` ` 5 . 4 . 1 . 2 . 1 . 5

%e ` ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ /

%e ` ` ` ` ` ` ` ` ` ` ` ` 6 . 5 . 1 . 1 . 2 . 1 . 6

%e ` ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ /

%e ` ` ` ` ` ` ` ` ` ` ` 7 . 6 . 1 . 1 . 1 . 2 . 1 . 7

%e ` ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ /

%e ` ` ` ` ` ` ` ` ` ` 8 . 7 . 6 . 1 . 1 . 1 . 2 . 1 . 8

%e ` ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ /

%e ` ` ` ` ` ` ` ` ` 9 . 8 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 9

%e ` ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ /

%e ` ` ` ` ` ` ` `10 . 9 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 10

%e ` ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /

%e ` ` ` ` ` ` `11 . 10. 9 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 11

%e ` ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /

%e ` ` ` ` ` `12 . 11. 10. 9 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 12

%e ` ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /

%e ` ` ` ` `13 . 12. 1 . 10. 9 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 13

%e ` ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /

%e ` ` ` `14 . 13. 18. 1 . 10. 9 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 14

%e ` ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /

%e ` ` `15 . 14. 1 . 12. 1 . 10. 9 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 15

%e ` ` `\ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ /

%e ` `16 . 15. 14. 1 . 18. 1 . 10. 9 . 1 . 1 . 6 . 1 . 1 . 1 . 2 . 1 . 16

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

%K nonn,tabl

%O 1,2

%A _Jon Awbrey_, Jun 07 2005

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Last modified September 23 04:38 EDT 2024. Contains 376142 sequences. (Running on oeis4.)