A306272 - OEIS

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A306272

Sum of distinct distances between n non-attacking rooks over all n X n chessboards.

0

0, 2, 12, 78, 686, 6056, 59002, 616522, 7009264, 86023126

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OFFSET

1,2

COMMENTS

a(n)/n! gives the expected number of distinct distances of n non-attacking rooks on a random n X n chessboard.

n!*A319476(n) <= a(n) <= n!*A320448(n).

LINKS

Table of n, a(n) for n=1..10.

CROSSREFS

Cf. A319476, A320448.

Sequence in context: A223771 A370442 A062871 * A227968 A289662 A107632

Adjacent sequences: A306269 A306270 A306271 * A306273 A306274 A306275

KEYWORD

nonn,more

AUTHOR

Peter Kagey, Feb 01 2019

STATUS

approved