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A349257
Largest integer that can be expressed as Sum_{k=1..n} k/p(k), where p is a permutation of [n].
2
0, 1, 2, 3, 6, 7, 10, 11, 15, 18, 21, 22, 27, 28, 32, 36, 40, 41, 46, 47, 52, 57, 61, 62, 67, 71, 76, 80, 84, 85, 90, 91, 97, 102, 107, 112, 116, 117, 123, 128, 132, 133, 139, 140, 146, 152, 157, 158, 164, 169, 174, 180, 185, 186, 192, 197, 202, 207, 212, 213, 219, 220, 227, 233
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OFFSET
0,3
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..83
FORMULA
a(n) = 1 + a(n-1) if n is prime. - Alois P. Heinz, Nov 12 2021
PROG
(Ruby)
def A(n)
max = 0
(1..n).to_a.permutation{|i|
m = (1..n).inject(0){|s, j| s + j / i[j - 1].to_r}
if m.denominator == 1
max = m if max < m
end
}
max.to_i
end
def A349257(n)
(0..n).map{|i| A(i)}
end
p A349257(8)
CROSSREFS
Cf. A022819, A073090, A349277.
Sequence in context: A117206 A026443 A345251 * A204323 A278965 A032858
Adjacent sequences: A349254 A349255 A349256 * A349258 A349259 A349260
KEYWORD
nonn,changed
AUTHOR
Seiichi Manyama, Nov 12 2021
EXTENSIONS
a(12)-a(19) from Alois P. Heinz, Nov 12 2021
a(20) onward from Seiichi Manyama, Aug 26 2026
STATUS
approved

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Last modified September 4 12:48 EDT 2026. Contains 398982 sequences.
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