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A065603 Maximal number of moves needed to sort n objects by moving blocks. +0
1
0, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 8, 9 (list; graph; listen)
OFFSET

1,3

COMMENT

Arises in sorting cards in a bridge hand; also in computational biology because block moves are a fundamental type of mutation.

REFERENCES

H. Eriksson et al., Sorting a bridge hand, Discrete Math., 241 (2001), 289-300.

LINKS

H. Eriksson et al., Sorting a bridge hand

Index entries for sequences related to sorting

FORMULA

It is conjectured that a(n) = ceiling((n+1)/2) for n >= 3 except for n = 13 and 15.

CROSSREFS

Sequence in context: A005410 A120835 A091374 this_sequence A084242 A156261 A071823

Adjacent sequences: A065600 A065601 A065602 this_sequence A065604 A065605 A065606

KEYWORD

nonn,nice,more

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Dec 02 2001

EXTENSIONS

Definition corrected by Peter Lipp, Dec 16 2008

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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