A260357 a(n) is the minimal value of Sum_{i=1..n} Product_{j=1..6} r_j(i), where each r_j is a permutation of {1,2,...,n}.

1, 16, 108, 472, 1564, 4320

Offset

1,2

Comments

See arXiv link for sets of permutations that achieve the value of a(n).

Links

Table of n, a(n) for n=1..6.

Chai Wah Wu, Permutations r_j such that ∑i∏j r_j(i) is maximized or minimized. arXiv:1508.02934 [math.CO], 2015.

Crossrefs

Cf. A000292 (two permutations), A070735 (three permutations), A070736 (four permutations), A260356 (five permutations), A260358 (seven permutations), A260359 (eight permutations), A260355.

Sequence in context: A083469 A224160 A224411 * A056001 A163725 A269188

Adjacent sequences: A260354 A260355 A260356 * A260358 A260359 A260360

Keyword

nonn,more

Author

Chai Wah Wu, Jul 28 2015

Status

approved