OFFSET
1,2
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.
EXAMPLE
Table showing records for 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
KEYWORD
nonn,more
AUTHOR
Scott R. Shannon and N. J. A. Sloane, Oct 12 2020
STATUS
approved