Torleiv Kløve - cp's OEIS frontend

A154654 Number of permutations of length n within distance 5.

1, 1, 2, 6, 24, 120, 720, 3720, 17304, 76110, 329462, 1441923, 6487445, 29555588, 135025756, 615260976, 2791161792, 12618600768, 57008446080, 257708989200, 1166042944564, 5279435858788, 23908888017477, 108262665958797, 490132089640318, 2218641353956314

Offset: 0

Torleiv Kløve, Jan 13 2009

a(n) equals the permanent of the n X n matrix with 1's along the eleven central diagonals and 0's everywhere else. - John M. Campbell, Jul 10 2011

Alois P. Heinz, Table of n, a(n) for n = 0..1000 (terms n=1..400 from R. H. Hardin)
Torleiv Kløve, Spheres of Permutations under the Infinity Norm - Permutations with limited displacement, Reports in Informatics, Department of Informatics, University of Bergen, Norway, no. 376, November 2008.

Cf. A000045, A002524, A002526, A072856.

Column k=5 of A306209.

G.f. is a rational function f(x)/g(x) where f has degree 132 and g has degree 142.

a(0)=1 prepended by Alois P. Heinz, Jan 28 2019

A154655 Number of permutations of length n within distance 6.

Original entry on oeis.org

1, 1, 2, 6, 24, 120, 720, 5040, 30960, 172200, 899064, 4553166, 22934774, 116914351, 610093513, 3222826972, 17101449940, 90706002192, 479654768640, 2527274267136, 13280313508416, 69734129749632, 366283822765632, 1925290900630896, 10126754515065868

Offset: 0

Torleiv Kløve, Jan 13 2009

a(n) equals the permanent of the n X n matrix with 1's along the central thirteen diagonals, and 0's everywhere else. - John M. Campbell, Jul 10 2011

Alois P. Heinz, Table of n, a(n) for n = 0..1000 (terms n=1..400 from R. H. Hardin)
Torleiv Kløve, Spheres of Permutations under the Infinity Norm - Permutations with limited displacement, Reports in Informatics, Department of Informatics, University of Bergen, Norway, no. 376, November 2008.

Cf. A000045, A002524, A002526, A072856, A154654.

Column k=6 of A306209.

G.f. is a rational function f(x)/g(x) where f has degree 482 and g has degree 494.

a(0)=1 prepended by Alois P. Heinz, Jan 28 2019

A154656 Number of permutations of length n within distance 7.

Original entry on oeis.org

1, 1, 2, 6, 24, 120, 720, 5040, 40320, 287280, 1865520, 11345160, 66349464, 381523758, 2193664790, 12764590275, 75796724309, 455383613924, 2750869551868, 16635586999056, 100439873614656, 604666567043712, 3629299734118656, 21736009354060800, 130082373922081536

Offset: 0

Torleiv Kløve, Jan 13 2009

a(n) equals the permanent of the n X n matrix with 1's along the central fifteen diagonals, and 0's everywhere else. - John M. Campbell, Jul 10 2011

Alois P. Heinz, Table of n, a(n) for n = 0..1000 (terms n=1..400 from R. H. Hardin)
Torleiv Kløve, Spheres of Permutations under the Infinity Norm - Permutations with limited displacement, Reports in Informatics, Department of Informatics, University of Bergen, Norway, no. 376, November 2008.

Cf. A000045, A002524, A002526, A072856, A154654.

Column k=7 of A306209.

a(0)=1 prepended by Alois P. Heinz, Jan 28 2019

A154657 Number of permutations of length n within distance 8.

Original entry on oeis.org

1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 2943360, 21898800, 152622000, 1017952680, 6623303544, 42700751022, 276054834902, 1805409270031, 12020754177001, 80930279045116, 548117873866228, 3720269813727312, 25239622338694272, 170893063638209664

Offset: 0

Torleiv Kløve, Jan 13 2009

nonn

a(n) equals the permanent of the n X n matrix with 1's along the central seventeen diagonals, and 0's everywhere else. - John M. Campbell, Jul 10 2011

Alois P. Heinz, Table of n, a(n) for n = 0..800 (terms n=1..177 from R. H. Hardin)
Torleiv Kløve, Spheres of Permutations under the Infinity Norm - Permutations with limited displacement, Reports in Informatics, Department of Informatics, University of Bergen, Norway, no. 376, November 2008.

Cf. A000045, A002524, A002526, A072856, A154654-A154656.

Column k=8 of A306209.

a(0)=1 prepended by Alois P. Heinz, Jan 28 2019

A154658 Number of permutations of length n within distance 9.

Original entry on oeis.org

1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 33022080, 277280640, 2184341040, 16427628720, 119892387720, 861175365144, 6157828055310, 44222780245622, 321113303226243, 2369364111428885, 17667206334000068, 132553643382927196, 997400200347756816

Offset: 0

Torleiv Kløve, Jan 13 2009

nonn

a(n) equals the permanent of the n X n matrix with 1's along the central nineteen diagonals, and 0's everywhere else. - John M. Campbell, Jul 10 2011

Alois P. Heinz, Table of n, a(n) for n = 0..400 (terms n=1..45 from R. H. Hardin)
Torleiv Kløve, Spheres of Permutations under the Infinity Norm - Permutations with limited displacement, Reports in Informatics, Department of Informatics, University of Bergen, Norway, no. 376, November 2008.

Cf. A000045, A002524, A002526, A072856, A154654-A154657.

Column k=9 of A306209.

a(0)=1 prepended by Alois P. Heinz, Jan 28 2019

A154659 Number of permutations of length n within distance 10.

Original entry on oeis.org

1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 402796800, 3770686080, 33187593600, 278598101040, 2261952938160, 17986137205800, 141564484858104, 1112444773251726, 8787513806478134, 70146437009397871, 568128719132038153, 4647312969412825372

Offset: 0

Torleiv Kløve, Jan 13 2009

nonn

Alois P. Heinz, Table of n, a(n) for n = 0..100
Torleiv Kløve, Spheres of Permutations under the Infinity Norm - Permutations with limited displacement, Reports in Informatics, Department of Informatics, University of Bergen, Norway, no. 376, November 2008.

Cf. A000045, A002524, A002526, A072856, A154654-A154658.

Column k=10 of A306209.

More terms from Alois P. Heinz, Jan 13 2014

A028292 Numbers of letters in n (in the Norwegian language Nynorsk).

Original entry on oeis.org

3, 2, 3, 4, 3, 4, 3, 4, 2, 2, 6, 4, 7, 7, 6, 7, 6, 5, 6, 4, 7, 6, 7, 8, 7, 8, 7, 8, 6, 6, 9, 8, 9, 10, 9, 10, 9, 10, 8, 5, 8, 7, 8, 9, 8, 9, 8, 9, 7, 5, 8, 7, 8, 9, 8, 9, 8, 9, 7, 6, 9, 8, 9, 10, 9, 10, 9, 10, 8, 5, 8, 7, 8, 9, 8, 9, 8, 9, 7, 4, 7, 6, 7, 8, 7, 8, 7, 8, 6, 5, 8, 7, 8, 9, 8, 9

Offset: 1

Torleiv Kløve

Cf. A014656.

A014656 Numbers of letters in n (in the Norwegian language Bokmål).

Original entry on oeis.org

2, 2, 3, 4, 3, 4, 3, 4, 2, 2, 6, 4, 7, 7, 6, 7, 6, 5, 6, 4, 6, 6, 7, 8, 7, 8, 7, 8, 6, 6, 8, 8, 9, 10, 9, 10, 9, 10, 8, 5, 7, 7, 8, 9, 8, 9, 8, 9, 7, 5, 7, 7, 8, 9, 8, 9, 8, 9, 7, 6, 8, 8, 9, 10, 9, 10, 9, 10, 8, 5, 7, 7, 8, 9, 8, 9, 8, 9, 7, 4, 6, 6, 7, 8, 7, 8, 7, 8, 6, 5, 7, 7, 8, 9, 8, 9

Offset: 1

Torleiv Kløve

Of Languages and Numbers, Counting in Norwegian (Bokmål)

Cf. A028292.

a(21), a(31), a(41), ... changed to be gender consistent with a(1), a(11) by Sean A. Irvine, Nov 15 2018

cp's OEIS Frontend

User: Torleiv Kløve

A154654 Number of permutations of length n within distance 5.

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A154655 Number of permutations of length n within distance 6.

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A154656 Number of permutations of length n within distance 7.

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A154657 Number of permutations of length n within distance 8.

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A154658 Number of permutations of length n within distance 9.

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A154659 Number of permutations of length n within distance 10.

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Author

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A028292 Numbers of letters in n (in the Norwegian language Nynorsk).

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Author

Keywords

Crossrefs

A014656 Numbers of letters in n (in the Norwegian language Bokmål).

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Author

Keywords

Links

Crossrefs

Extensions