- FindStat

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Identifier

St000438: Dyck paths ⟶ ℤ

Values

[1,0,1,0] => 3

[1,1,0,0] => 2

[1,0,1,0,1,0] => 5

[1,0,1,1,0,0] => 4

[1,1,0,0,1,0] => 5

[1,1,0,1,0,0] => 4

[1,1,1,0,0,0] => 3

[1,0,1,0,1,0,1,0] => 7

[1,0,1,0,1,1,0,0] => 6

[1,0,1,1,0,0,1,0] => 7

[1,0,1,1,0,1,0,0] => 6

[1,0,1,1,1,0,0,0] => 5

[1,1,0,0,1,0,1,0] => 7

[1,1,0,0,1,1,0,0] => 6

[1,1,0,1,0,0,1,0] => 7

[1,1,0,1,0,1,0,0] => 6

[1,1,0,1,1,0,0,0] => 5

[1,1,1,0,0,0,1,0] => 7

[1,1,1,0,0,1,0,0] => 6

[1,1,1,0,1,0,0,0] => 5

[1,1,1,1,0,0,0,0] => 4

[1,0,1,0,1,0,1,0,1,0] => 9

[1,0,1,0,1,0,1,1,0,0] => 8

[1,0,1,0,1,1,0,0,1,0] => 9

[1,0,1,0,1,1,0,1,0,0] => 8

[1,0,1,0,1,1,1,0,0,0] => 7

[1,0,1,1,0,0,1,0,1,0] => 9

[1,0,1,1,0,0,1,1,0,0] => 8

[1,0,1,1,0,1,0,0,1,0] => 9

[1,0,1,1,0,1,0,1,0,0] => 8

[1,0,1,1,0,1,1,0,0,0] => 7

[1,0,1,1,1,0,0,0,1,0] => 9

[1,0,1,1,1,0,0,1,0,0] => 8

[1,0,1,1,1,0,1,0,0,0] => 7

[1,0,1,1,1,1,0,0,0,0] => 6

[1,1,0,0,1,0,1,0,1,0] => 9

[1,1,0,0,1,0,1,1,0,0] => 8

[1,1,0,0,1,1,0,0,1,0] => 9

[1,1,0,0,1,1,0,1,0,0] => 8

[1,1,0,0,1,1,1,0,0,0] => 7

[1,1,0,1,0,0,1,0,1,0] => 9

[1,1,0,1,0,0,1,1,0,0] => 8

[1,1,0,1,0,1,0,0,1,0] => 9

[1,1,0,1,0,1,0,1,0,0] => 8

[1,1,0,1,0,1,1,0,0,0] => 7

[1,1,0,1,1,0,0,0,1,0] => 9

[1,1,0,1,1,0,0,1,0,0] => 8

[1,1,0,1,1,0,1,0,0,0] => 7

[1,1,0,1,1,1,0,0,0,0] => 6

[1,1,1,0,0,0,1,0,1,0] => 9

[1,1,1,0,0,0,1,1,0,0] => 8

[1,1,1,0,0,1,0,0,1,0] => 9

[1,1,1,0,0,1,0,1,0,0] => 8

[1,1,1,0,0,1,1,0,0,0] => 7

[1,1,1,0,1,0,0,0,1,0] => 9

[1,1,1,0,1,0,0,1,0,0] => 8

[1,1,1,0,1,0,1,0,0,0] => 7

[1,1,1,0,1,1,0,0,0,0] => 6

[1,1,1,1,0,0,0,0,1,0] => 9

[1,1,1,1,0,0,0,1,0,0] => 8

[1,1,1,1,0,0,1,0,0,0] => 7

[1,1,1,1,0,1,0,0,0,0] => 6

[1,1,1,1,1,0,0,0,0,0] => 5

[1,0,1,0,1,0,1,0,1,0,1,0] => 11

[1,0,1,0,1,0,1,0,1,1,0,0] => 10

[1,0,1,0,1,0,1,1,0,0,1,0] => 11

[1,0,1,0,1,0,1,1,0,1,0,0] => 10

[1,0,1,0,1,0,1,1,1,0,0,0] => 9

[1,0,1,0,1,1,0,0,1,0,1,0] => 11

[1,0,1,0,1,1,0,0,1,1,0,0] => 10

[1,0,1,0,1,1,0,1,0,0,1,0] => 11

[1,0,1,0,1,1,0,1,0,1,0,0] => 10

[1,0,1,0,1,1,0,1,1,0,0,0] => 9

[1,0,1,0,1,1,1,0,0,0,1,0] => 11

[1,0,1,0,1,1,1,0,0,1,0,0] => 10

[1,0,1,0,1,1,1,0,1,0,0,0] => 9

[1,0,1,0,1,1,1,1,0,0,0,0] => 8

[1,0,1,1,0,0,1,0,1,0,1,0] => 11

[1,0,1,1,0,0,1,0,1,1,0,0] => 10

[1,0,1,1,0,0,1,1,0,0,1,0] => 11

[1,0,1,1,0,0,1,1,0,1,0,0] => 10

[1,0,1,1,0,0,1,1,1,0,0,0] => 9

[1,0,1,1,0,1,0,0,1,0,1,0] => 11

[1,0,1,1,0,1,0,0,1,1,0,0] => 10

[1,0,1,1,0,1,0,1,0,0,1,0] => 11

[1,0,1,1,0,1,0,1,0,1,0,0] => 10

[1,0,1,1,0,1,0,1,1,0,0,0] => 9

[1,0,1,1,0,1,1,0,0,0,1,0] => 11

[1,0,1,1,0,1,1,0,0,1,0,0] => 10

[1,0,1,1,0,1,1,0,1,0,0,0] => 9

[1,0,1,1,0,1,1,1,0,0,0,0] => 8

[1,0,1,1,1,0,0,0,1,0,1,0] => 11

[1,0,1,1,1,0,0,0,1,1,0,0] => 10

[1,0,1,1,1,0,0,1,0,0,1,0] => 11

[1,0,1,1,1,0,0,1,0,1,0,0] => 10

[1,0,1,1,1,0,0,1,1,0,0,0] => 9

[1,0,1,1,1,0,1,0,0,0,1,0] => 11

[1,0,1,1,1,0,1,0,0,1,0,0] => 10

[1,0,1,1,1,0,1,0,1,0,0,0] => 9

[1,0,1,1,1,0,1,1,0,0,0,0] => 8

[1,0,1,1,1,1,0,0,0,0,1,0] => 11

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Description

The position of the last up step in a Dyck path.

Code

def statistic(D):
    return len(D)-list(reversed(D)).index(1)

Created

Feb 28, 2016 at 08:53 by Christian Stump

Updated

Feb 28, 2016 at 08:53 by Christian Stump