A202213 -id:A202213 - cp's OEIS frontend

A202229 Number of permutations avoiding the consecutive pattern 41253.

1, 2, 6, 24, 119, 708, 4914, 38979, 347844, 3449022, 37618404, 447603154, 5769631250, 80091726847, 1191215895231, 18898269051750, 318553597247225, 5685472764793353, 107110426612465623, 2124091932221770696, 44228699419853376368, 964802486928888810542

Offset: 1

Ray Chandler, Dec 15 2011

nonn

a(n) is the number of permutations on [n] that avoid the consecutive pattern 41253. It is the same as the number of permutations which avoid 25413, 31452 or 35214.

Ray Chandler, Table of n, a(n) for n = 1..40
A. Baxter, B. Nakamura, and D. Zeilberger. Automatic generation of theorems and proofs on enumerating consecutive Wilf-classes

Cf. A177523, A202213-A202236.

A202230 Number of permutations avoiding the consecutive pattern 42531.

Original entry on oeis.org

1, 2, 6, 24, 119, 708, 4914, 38982, 347873, 3449332, 37621965, 447648482, 5770250935, 80100822074, 1191358479790, 18900647287550, 318595643201902, 5686258136269396, 107125880782919395, 2124411456922993308, 44235624533456911964, 964959480961869203870

Offset: 1

Ray Chandler, Dec 15 2011

nonn

a(n) is the number of permutations on [n] that avoid the consecutive pattern 42531. It is the same as the number of permutations which avoid 13524, 24135 or 53142.

Ray Chandler, Table of n, a(n) for n = 1..40
A. Baxter, B. Nakamura, and D. Zeilberger. Automatic generation of theorems and proofs on enumerating consecutive Wilf-classes

Cf. A177523, A202213-A202236.

A202231 Number of permutations avoiding the consecutive pattern 45123.

Original entry on oeis.org

1, 2, 6, 24, 119, 708, 4914, 38980, 347862, 3449292, 37622348, 447662376, 5770553184, 80106726784, 1191471740436, 18902847341664, 318639524995160, 5687162644422552, 107145206713313556, 2124840033683212648, 44245492380155416392, 965195327390976439656

Offset: 1

Ray Chandler, Dec 15 2011

nonn

a(n) is the number of permutations on [n] that avoid the consecutive pattern 45123. It is the same as the number of permutations which avoid 21543, 32154 or 34512.

Ray Chandler, Table of n, a(n) for n = 1..40
A. Baxter, B. Nakamura, and D. Zeilberger. Automatic generation of theorems and proofs on enumerating consecutive Wilf-classes

Cf. A177523, A202213-A202236.

A202232 Number of permutations avoiding the consecutive pattern 41352.

Original entry on oeis.org

1, 2, 6, 24, 119, 708, 4914, 38982, 347884, 3449552, 37625605, 447705880, 5771174672, 80116195690, 1191625115214, 18905479581944, 318687249924106, 5688074315975376, 107163510318836508, 2125225387203526220, 44253982345638143492, 965390692549001250560

Offset: 1

Ray Chandler, Dec 15 2011

nonn

a(n) is the number of permutations on [n] that avoid the consecutive pattern 41352. It is the same as the number of permutations which avoid 25314.

Ray Chandler, Table of n, a(n) for n = 1..40
A. Baxter, B. Nakamura, and D. Zeilberger. Automatic generation of theorems and proofs on enumerating consecutive Wilf-classes

Cf. A177523, A202213-A202236.

A202233 Number of permutations avoiding the consecutive pattern 45231.

Original entry on oeis.org

1, 2, 6, 24, 119, 708, 4915, 38992, 347980, 3450572, 37637545, 447857256, 5773243451, 80146549212, 1192100892680, 18913413488544, 318827489139059, 5690693361661052, 107215038571876213, 2126290615269312536, 44277066284532913066, 965913951460006237612

Offset: 1

Ray Chandler, Dec 15 2011

nonn

a(n) is the number of permutations on [n] that avoid the consecutive pattern 45231. It is the same as the number of permutations which avoid 13254, 21435 or 53412.

Ray Chandler, Table of n, a(n) for n = 1..40
A. Baxter, B. Nakamura, and D. Zeilberger. Automatic generation of theorems and proofs on enumerating consecutive Wilf-classes

Cf. A177523, A202213-A202236.

A202234 Number of permutations avoiding the consecutive pattern 35124.

Original entry on oeis.org

1, 2, 6, 24, 119, 708, 4914, 38982, 347898, 3449832, 37630215, 447778848, 5772349056, 80135742750, 1191964110777, 18911623686552, 318803730114225, 5690383738630956, 107211361385886516, 2126260453008788598, 44277328711513910475, 965939103520765611768

Offset: 1

Ray Chandler, Dec 15 2011

nonn

a(n) is the number of permutations on [n] that avoid the consecutive pattern 35124. It is the same as the number of permutations which avoid 24513, 31542 or 42153.

Ray Chandler, Table of n, a(n) for n = 1..40
A. Baxter, B. Nakamura, and D. Zeilberger. Automatic generation of theorems and proofs on enumerating consecutive Wilf-classes

Cf. A177523, A202213-A202236.

cp's OEIS Frontend

A202229 Number of permutations avoiding the consecutive pattern 41253.

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A202230 Number of permutations avoiding the consecutive pattern 42531.

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A202231 Number of permutations avoiding the consecutive pattern 45123.

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A202232 Number of permutations avoiding the consecutive pattern 41352.

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A202233 Number of permutations avoiding the consecutive pattern 45231.

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A202234 Number of permutations avoiding the consecutive pattern 35124.

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