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A027361 Number of "sorted permutations": permutations that can occur as the output of the sorting procedure described by Knuth. 1
1, 1, 1, 2, 5, 17, 68, 326, 1780, 11033, 76028, 578290, 4803696, 43297358, 420639362, 4382320595, 48729809104, 576039659209, 7213070102518, 95373808983223, 1327842798808220, 19416307366048221, 297499363267839558, 4766432683120731044, 79699553284422816437, 1388383661114307067780, 25156549558328842669336 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

REFERENCES

D. E. Knuth, The Art of Computer Programming Vol. 1, p. 238.

LINKS

Table of n, a(n) for n=0..26.

M. Bousquet-Mélou, Publications de Mireille Bousquet-Mélou

M. Bousquet-Mélou, Sorted or sortable permutations, Discrete Math., 225 (2000), 25-50.

J. West, Sorting twice through a stack, Theoret. Comput. Sci. 117 (1993) 303-313.

Index entries for sequences related to sorting

CROSSREFS

Cf. A027432.

Sequence in context: A051625 A056098 A239201 * A101971 A211387 A303952

Adjacent sequences:  A027358 A027359 A027360 * A027362 A027363 A027364

KEYWORD

nonn,nice

AUTHOR

Mireille Bousquet-Mélou

EXTENSIONS

Prepended a(0)=1 to match offset, added more terms, Joerg Arndt, Jul 01 2014

STATUS

approved

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Last modified November 20 02:57 EST 2018. Contains 317371 sequences. (Running on oeis4.)