cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Previous Showing 11-15 of 15 results.

A179565 Number of permutations of [n] with the number moved left exceeding the number moved right by 4.

Original entry on oeis.org

0, 0, 0, 0, 0, 1, 7, 267, 2235, 53830, 511412, 11370998, 122063526, 2787148807, 33618432005, 817366315013, 10992904020133, 288039183533356, 4284317049630762, 121306011298119784, 1980129988160763368, 60512049675634245013, 1076468156084116242851
Offset: 1

Views

Author

R. H. Hardin, Jul 19 2010

Keywords

Crossrefs

Column k=4 (or k=-4) of A062866.
Equal number moved left and right, see A062868.

Extensions

a(19)-a(20) from Alois P. Heinz, Jul 31 2018
a(21)-a(23) from Alois P. Heinz, Apr 28 2024

A179566 Number of permutations of 1..n with the number moved left exceeding the number moved right by 0 or more.

Original entry on oeis.org

1, 1, 2, 5, 19, 83, 501, 3217, 26489, 223001, 2307265, 23964881, 297799569, 3677298385, 53294334289, 762583317329, 12621599431489, 205355314491969, 3820420692695361, 69655479737261377, 1438574866261997777, 29053167748430247953, 659456581268987396785, 14613762897810470264817
Offset: 0

Views

Author

R. H. Hardin, Jul 19 2010

Keywords

Crossrefs

For equal numbers moved left and right, see A062868.
Cf. A062866.

Formula

a(n) = Sum_{k>=0} A062866(n,k). - Alois P. Heinz, Jul 31 2018

Extensions

a(0) and a(19)-a(20) from Alois P. Heinz, Jul 31 2018
a(21)-a(23) from Alois P. Heinz, Apr 28 2024

A179568 Number of permutations of 1..n with the number moved left exceeding the number moved right by 2 or more.

Original entry on oeis.org

0, 0, 0, 1, 6, 73, 534, 6095, 54048, 680233, 7218930, 102769819, 1279247260, 20545125053, 294350830326, 5287381093455, 85819208861136, 1708363220642257
Offset: 1

Views

Author

R. H. Hardin Jul 19 2010

Keywords

Crossrefs

Equal number moved left and right, see A062868

A179569 Number of permutations of 1..n with the number moved left exceeding the number moved right by 3 or more.

Original entry on oeis.org

0, 0, 0, 0, 1, 7, 142, 1236, 19389, 197961, 3119296, 37007330, 625269351, 8518503575, 156989400170, 2424846690232, 48850794161897, 845427958969045
Offset: 1

Views

Author

R. H. Hardin Jul 19 2010

Keywords

Crossrefs

Equal number moved left and right, see A062868

A179570 Number of permutations of 1..n with the number moved left exceeding the number moved right by 4 or more.

Original entry on oeis.org

0, 0, 0, 0, 0, 1, 8, 276, 2774, 59939, 693696, 13728106, 180768774, 3638322281, 54074432712, 1147607880440, 19083350797374, 432538009487375
Offset: 1

Views

Author

R. H. Hardin Jul 19 2010

Keywords

Crossrefs

Equal number moved left and right, see A062868
Previous Showing 11-15 of 15 results.