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A034298 a(n) = min_S max_i b_i where S={b_i} (1 <= i <= n), b_i > 0, b_i distinct and either b_i|b_{i-1} or b_{i-1}|b_i. 2
1, 2, 3, 4, 6, 6, 8, 9, 10, 12, 12, 14, 15, 16, 18, 18, 20, 21, 22, 24, 24, 26, 27, 28, 30, 30, 32, 33, 35, 36, 39, 40, 42, 42, 44, 44, 45 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..37.

E. J. Friedman, Math. Magic

EXAMPLE

For example, a(12)=14 because of {9, 3, 6, 12, 4, 8, 2, 10, 5, 1, 7, 14} and the fact that no sequence of 12 distinct positive integers < 14 has this division property.

a(32) = 40 because of {22, 11, 33, 3, 39, 13, 26, 2, 34, 17, 1, 10, 20, 40, 8, 16, 32, 4, 28, 14, 7, 35, 5, 15, 30, 6, 24, 12, 36, 18, 9, 27};

a(34) = 42 because of {22, 11, 33, 3, 39, 13, 26, 2, 34, 17, 1, 10, 20, 40, 8, 16, 32, 4, 28, 14, 42, 21, 7, 35, 5, 15, 30, 6, 24, 12, 36, 18, 9, 27};

a(37) = 45 because of {17, 34, 2, 38, 19, 1, 26, 13, 39, 3, 33, 11, 22, 44, 4, 16, 32, 8, 24, 6, 12, 36, 18, 9, 45, 15, 30, 10, 20, 40, 5, 35, 7, 21, 42, 14, 28}.

CROSSREFS

Sequence in context: A306974 A278400 A239492 * A308162 A092404 A094871

Adjacent sequences:  A034295 A034296 A034297 * A034299 A034300 A034301

KEYWORD

nice,nonn,more

AUTHOR

Erich Friedman

EXTENSIONS

a(31)-a(37) from Xavier Martres, Apr 26 2019

STATUS

approved

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Last modified July 27 15:49 EDT 2021. Contains 346308 sequences. (Running on oeis4.)