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A357388
Numbers k such that A071626(k) < A071626(k+1).
3
1, 3, 5, 9, 14, 21, 32, 43, 54, 65, 67, 84, 101, 115, 118, 135, 144, 152, 173, 202, 221, 231, 258, 260, 289, 295, 318, 332, 347, 369, 376, 405, 409, 423, 434, 450, 476, 491, 530, 532, 573, 589, 614, 648, 655, 696, 707, 736, 737, 766, 778, 803, 819, 825, 860, 870
OFFSET
1,2
COMMENTS
Conjecture: This sequence has an asymptotic density 0.028..., which is the same as the asymptotic density of A357390 (see A357385).
LINKS
EXAMPLE
1 is a term since A071626(1) = 0 < A071626(2) = 1.
MATHEMATICA
s[n_] := Length[Union[FactorInteger[n!][[;; , 2]]]]; s[1] = 0; Select[Range[1000], s[#] < s[# + 1] &]
CROSSREFS
KEYWORD
nonn
AUTHOR
Amiram Eldar, Sep 26 2022
STATUS
approved