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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. 12
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 (list; table; graph; refs; listen; history; internal format)
OFFSET

1,2

EXAMPLE

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

CROSSREFS

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

Sequence in context: A169742 A086414 A098896 * A138530 A002341 A128260

Adjacent sequences:  A108368 A108369 A108370 * A108372 A108373 A108374

KEYWORD

nonn,tabl

AUTHOR

Jon Awbrey (jawbrey(AT)att.net), Jun 07 2005

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Last modified February 15 12:12 EST 2012. Contains 205783 sequences.