A383931 Minimal nonnegative integer which reaches a cycle after exactly n iterations of the modified Sisyphus function of order 5 (A375208).

613200, 100123, 100012, 10, 1023, 100, 0, 10234, 10000123, 10000000000002

Offset: 0

Author

Matt Coppenbarger, May 15 2025

Keywords

• nonn
• base

Comments

The sole cycle is C = {613200,622110} and iteration stops on reaching either element of this cycle.

The next term is 145 digits a(10) = decimal 1 0^(101) 1^(10) 2^(11) 3^(11) 4^(11) where ^ denotes repetition of a digit.

Examples

			For n=6, a(6) = 0 takes 6 iterations to reach C: 0 -> 110000 -> 642000 -> 631101 -> 614010 -> 632001 -> 6221100.
		

References

• J. Schram, The Sisyphus string, J. Recreational Math., 19 (1987), 43-44.

Links

• M. E. Coppenbarger, Iterations of a modified Sisyphus function, Fib. Q., 56 (No. 2, 2018), 130-141.

Crossrefs

Cf. A375208 (Sisyphus 5 function).

Cf. A308002, A352752.