A338056 Values of k where A336957(k)/k sets a new record.

1, 3, 4, 5, 182735, 243638, 456498, 578004, 669156, 1063563, 1093967, 1671118, 1974220, 2125785, 2398346, 2428677, 3428717, 3732005, 4065453, 4458923, 4640700, 8760267

Offset: 1

Author

Scott R. Shannon and N. J. A. Sloane, Oct 12 2020

Keywords

• nonn
• more

Comments

The factorizations of the a(n) values (which are in A338057) are

1, (2) (3), (3) (5), (5) (7), (17) (90089), (17) (120121),

(17) (225217), (17) (285287), (17) (330313), (17) (525529),

(17) (540557), (17) (825821), (17) (975977), (17) (1051051),

(17) (1186181), (17) (1201201), (17) (1696697), (17) (1846843),

(17) (2012009), (17) (2207213), (19) (2297297), (19) (4339343),

which suggests that both the current sequence and A338057 are infinite.

Examples

			Table showing records for A336957(k)/k:
     k   A336957(k)    A336957(k)/k
     1           1     1
     3           6     2
     4          15     3.75
     5          35     7
182735     1531513     8.38106
243638     2042057     8.38152
456498     3828689     8.38709
578004     4849879     8.39074
669156     5615321     8.39165
1063563     8933993     8.40006
1093967     9189469     8.40013
1671118     14038957     8.40094
1974220     16591609     8.40413
2125785     17867867     8.4053
2398346     20165077     8.40791
2428677     20420417     8.40804
3428717     28843849     8.41243
3732005     31396331     8.41272
4065453     34204153     8.41337
4458923     37522621     8.41518
4640700     43648643     9.40562
8760267     82447517     9.41153
		

Crossrefs

Cf. A336957, A338057.