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A376068
Lexicographically earliest sequence of distinct positive integers such that for any n > 0, Sum_{k = 1..n} a(2*k-1)/a(2*k) < 1.
1
1, 2, 3, 7, 4, 57, 5, 3991, 6, 19108909, 8, 486867178748497, 9, 266669605960335497200501136827, 10, 79014087492267334815685283447201270968760518233020971656781, 11
OFFSET
1,2
COMMENTS
This sequence is a permutation of the positive integers.
EXAMPLE
The first terms, alongside the corresponding sums, are:
n a(2*n-1) a(2*n) Sum_{k=1..n} a(2*k-1)/a(2*k)
- -------- -------- -----------------------------
1 1 2 1/2
2 3 7 13/14
3 4 57 797/798
4 5 3991 3184817/3184818
5 6 19108909 60858397343561/60858397343562
PROG
(PARI) \\ See Links section.
CROSSREFS
Cf. A376043.
Sequence in context: A324598 A229794 A331318 * A082734 A332526 A021425
KEYWORD
nonn
AUTHOR
Rémy Sigrist, Sep 08 2024
STATUS
approved