cp's OEIS Frontend

A375527 Lexicographically earliest sequence of positive integers a(1), a(2), a(3), ... such that for any n > 0, Sum_{k = 1..n} 1 / (A000959(k)*a(k)) < 1 (where A000959(k) is the k-th lucky number).

%I A375527 #21 Jul 09 2025 05:05:33
%S A375527 2,1,1,5,49,3823,10436791,91498340590348,
%T A375527 16878924054006628616561542268,
%U A375527 1037072167459498271969377959736955928500322755810409274896,1758618383011028875762229897498966705737981284604676043205492817705756616240608451710873787593445097075800445688725
%N A375527 Lexicographically earliest sequence of positive integers a(1), a(2), a(3), ... such that for any n > 0, Sum_{k = 1..n} 1 / (A000959(k)*a(k)) < 1 (where A000959(k) is the k-th lucky number).
%C A375527 Exact analog of A375781, with the primes replaced by the lucky numbers (A000959).
%C A375527 The motivation was to see if the unusual properties of the partial sums arising from A375781 and from A374663 would hold for other divergent series. It appears that they certainly hold here - see A375528.
%H A375527 N. J. A. Sloane, <a href="https://www.youtube.com/watch?v=3RAYoaKMckM">A Nasty Surprise in a Sequence and Other OEIS Stories</a>, Experimental Mathematics Seminar, Rutgers University, Oct 10 2024, Youtube video; <a href="https://sites.math.rutgers.edu/~zeilberg/expmath/sloane85BD.pdf">Slides</a> [Mentions this sequence]
%Y A375527 Cf. A000959, A374663, A375781, A375528.
%K A375527 nonn
%O A375527 1,1
%A A375527 _N. J. A. Sloane_, Sep 01 2024