A336218 a(n) is the length of the cycle of the purely periodic unitary sigma aliquot cycles listed in A336216.

1, 3, 1, 1, 2, 2, 5, 14, 2, 14, 2, 14, 2, 2, 2, 1, 2, 2, 2, 2, 4, 2, 2, 4, 2, 65, 2, 2, 2, 6, 25, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 39, 26, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2

Offset: 1

Author

Hartmut F. W. Hoft, Jul 12 2020

Keywords

• nonn

Comments

For the definition of unitary divisors see A034448. This sequence has been calculated from the table of 440 lines in the link of A327157 of Antti Karttunen. That table contains the numbers in 122 complete cycles and in 5 incomplete 2-cycles with values larger than number 27287260 in line 440 which results in the cumulative sum of 445 for the data listed in this sequence.

Examples

			The first cycle of size 14 = a(8) starts at position: 1 + (1+3+1+1+2+2+5) = 16 in A336216.
		

Links

• Hartmut F. W. Hoft, Plot of 25th through 52nd pure unitary sigma aliquot cycles

Crossrefs

Cf. A034448, A327157, A336216, A336219.