A202236 -id:A202236 - cp's OEIS frontend

A202222 Number of permutations avoiding the consecutive pattern 23451.

1, 2, 6, 24, 119, 708, 4914, 38976, 347795, 3448312, 37608186, 447452544, 5767315785, 80054392880, 1190583423414, 18887010379776, 318343175603145, 5681348801115680, 107025793890636390, 2122275973981599744, 44188021441868910375, 963852638874607648320

Offset: 1

Ray Chandler, Dec 15 2011

nonn

a(n) is the number of permutations on [n] that avoid the consecutive pattern 23451. It is the same as the number of permutations which avoid 13452, 25431, 41235, 53214, 13542, 24531, 42135, 53124, 14352, 25341, 41325, 52314, 14532, 23541, 43125, 52134, 15342, 24351, 42315, 51324, 15432, 43215 or 51234.

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.

A202223 Number of permutations avoiding the consecutive pattern 45213.

Original entry on oeis.org

1, 2, 6, 24, 119, 708, 4914, 38977, 347808, 3448482, 37610495, 447485376, 5767807974, 80062182733, 1190713519497, 18889300119942, 318385578137273, 5682173514985293, 107042610409389945, 2122634830121877061, 44196021893249998467, 964038681151139896083

Offset: 1

Ray Chandler, Dec 15 2011

nonn

a(n) is the number of permutations on [n] that avoid the consecutive pattern 45213. It is the same as the number of permutations which avoid 21453, 31254 or 35412.

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.

A202224 Number of permutations avoiding the consecutive pattern 42351.

Original entry on oeis.org

1, 2, 6, 24, 119, 708, 4914, 38980, 347837, 3448792, 37614098, 447530960, 5768427763, 80071232808, 1190854748337, 18891645882204, 318426891675529, 5682942507677216, 107057693682517823, 2122945762085834896, 44202742291011618712, 964190646266565855612

Offset: 1

Ray Chandler, Dec 15 2011

nonn

a(n) is the number of permutations on [n] that avoid the consecutive pattern 42351. It is the same as the number of permutations which avoid 15324, 24315 or 51342.

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.

A202225 Number of permutations avoiding the consecutive pattern 43521.

Original entry on oeis.org

1, 2, 6, 24, 119, 708, 4914, 38980, 347837, 3448792, 37614098, 447531000, 5768428803, 80071254648, 1190855183414, 18891654561628, 318427067939961, 5682946188447440, 107057773100175102, 2122947536807150960, 44202783404925357767, 964191633859884115696

Offset: 1

Ray Chandler, Dec 15 2011

nonn

a(n) is the number of permutations on [n] that avoid the consecutive pattern 43521. It is the same as the number of permutations which avoid 12534, 23145 or 54132.

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.

A202226 Number of permutations avoiding the consecutive pattern 34125.

Original entry on oeis.org

1, 2, 6, 24, 119, 708, 4914, 38979, 347829, 3448722, 37613451, 447524466, 5768361795, 80070563433, 1190848464594, 18891604332045, 318427172178204, 5682965018856093, 107058447534630429, 2122967250258006555, 44203325864880537180, 964206345760838800371

Offset: 1

Ray Chandler, Dec 15 2011

nonn

a(n) is the number of permutations on [n] that avoid the consecutive pattern 34125. It is the same as the number of permutations which avoid 14523, 32541 or 52143.

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.

A202227 Number of permutations avoiding the consecutive pattern 41532.

Original entry on oeis.org

1, 2, 6, 24, 119, 708, 4914, 38979, 347830, 3448742, 37613781, 447529736, 5768447194, 80071991461, 1190873311644, 18892055757622, 318435746208625, 5683135262448470, 107061979121943224, 2123043715555546099, 44205051951114604550, 964246919041476700230

Offset: 1

Ray Chandler, Dec 15 2011

nonn

a(n) is the number of permutations on [n] that avoid the consecutive pattern 41532. It is the same as the number of permutations which avoid 23514, 25134 or 43152.

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.

A202228 Number of permutations avoiding the consecutive pattern 52341.

Original entry on oeis.org

1, 2, 6, 24, 119, 708, 4914, 38982, 347869, 3449252, 37620655, 447627708, 5769915215, 80095218258, 1191261103432, 18898879914026, 318562100279543, 5685592510437500, 107112079379106657, 2124112747338010252, 44228883790175992996, 964801076036155315318

Offset: 1

Ray Chandler, Dec 15 2011

nonn

a(n) is the number of permutations on [n] that avoid the consecutive pattern 52341. It is the same as the number of permutations which avoid 14325.

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.

A202229 Number of permutations avoiding the consecutive pattern 41253.

Original entry on oeis.org

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.

cp's OEIS Frontend

A202222 Number of permutations avoiding the consecutive pattern 23451.

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A202223 Number of permutations avoiding the consecutive pattern 45213.

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A202224 Number of permutations avoiding the consecutive pattern 42351.

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A202225 Number of permutations avoiding the consecutive pattern 43521.

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A202226 Number of permutations avoiding the consecutive pattern 34125.

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A202227 Number of permutations avoiding the consecutive pattern 41532.

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A202228 Number of permutations avoiding the consecutive pattern 52341.

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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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