A375528 -id:A375528 - 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).

2, 1, 1, 5, 49, 3823, 10436791, 91498340590348, 16878924054006628616561542268, 1037072167459498271969377959736955928500322755810409274896, 1758618383011028875762229897498966705737981284604676043205492817705756616240608451710873787593445097075800445688725

Offset: 1

N. J. A. Sloane, Sep 01 2024

nonn

Exact analog of A375781, with the primes replaced by the lucky numbers (A000959).

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.

N. J. A. Sloane, A Nasty Surprise in a Sequence and Other OEIS Stories, Experimental Mathematics Seminar, Rutgers University, Oct 10 2024, Youtube video; Slides [Mentions this sequence]

Cf. A000959, A374663, A375781, A375528.

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).

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