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A109298 Primal codes of finite idempotent functions on positive integers. 2
1, 2, 9, 18, 125, 250, 1125, 2250, 2401, 4802, 21609, 43218, 300125, 600250, 2701125, 5402250 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Finite idempotent functions are identity maps on finite subsets, counting the empty function as the idempotent on the empty set.

EXAMPLE

Writing (prime(i))^j as i:j, we have the following table of examples:

Primal Codes of Finite Idempotent Functions on Positive Integers

` ` ` 1 = { }

` ` ` 2 = 1:1

` ` ` 9 = ` ` 2:2

` ` `18 = 1:1 2:2

` ` 125 = ` ` ` ` 3:3

` ` 250 = 1:1 ` ` 3:3

` `1125 = ` ` 2:2 3:3

` `2250 = 1:1 2:2 3:3

` `2401 = ` ` ` ` ` ` 4:4

` `4802 = 1:1 ` ` ` ` 4:4

` 21609 = ` ` 2:2 ` ` 4:4

` 43218 = 1:1 2:2 ` ` 4:4

`300125 = ` ` ` ` 3:3 4:4

`600250 = 1:1 ` ` 3:3 4:4

2701125 = ` ` 2:2 3:3 4:4

5402250 = 1:1 2:2 3:3 4:4

CROSSREFS

Cf. A076954, A106177, A108352, A108371, A109301.

Sequence in context: A083423 A068978 A006226 * A075537 A180852 A075340

Adjacent sequences:  A109295 A109296 A109297 * A109299 A109300 A109301

KEYWORD

nonn

AUTHOR

Jon Awbrey (jawbrey(AT)att.net), Jul 06 2005

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Last modified February 16 19:23 EST 2012. Contains 205945 sequences.