A187783 -id:A187783 - cp's OEIS frontend

A198803 Number of closed paths of length 17n whose steps are 17th roots of unity.

1, 355687428096000, 2252447502438386084347676160000000, 91637618063484032681381970173925718228992000000000000, 8528384964488882787308232082310780143738202829970606470279000000000000000

Offset: 0

Simon Plouffe, Oct 30 2011

nonn

Equivalently, the number of paths of length 17n in Z^17 from {0}^17 to {n}^17. - Andrew Howroyd, Nov 01 2018

Andrew Howroyd, Table of n, a(n) for n = 0..40
Gilbert Labelle and Annie Lacasse, Closed paths whose steps are roots of unity, in FPSAC 2011, Reykjavik, Iceland DMTCS proc. AO, 2011, 599-610.

Row n=17 of A187783, column k=17 of A089759.

a(n) = (17*n)!/(n!)^17; \\ Andrew Howroyd, Nov 01 2018

a(n) = (17*n)!/(n!)^17. - Andrew Howroyd, Nov 01 2018

Sequence redefined and a(2)-a(4) from Andrew Howroyd, Nov 01 2018

A198809 Number of closed paths of length 11n whose steps are 11th roots of unity.

Original entry on oeis.org

1, 39916800, 548828480360160000, 23934366266775567482880000000, 1746930746117010628955362040959500000000, 170878335353097656943918169452451079403744627916800, 20193738534370392855946567010492898163504440783192016158720000

Offset: 0

Simon Plouffe, Oct 30 2011

nonn

Equivalently, the number of paths of length 11n in Z^11 from {0}^11 to {n}^11. - Andrew Howroyd, Nov 01 2018

Andrew Howroyd, Table of n, a(n) for n = 0..50
Gilbert Labelle and Annie Lacasse, Closed paths whose steps are roots of unity, in FPSAC 2011, Reykjavik, Iceland DMTCS proc. AO, 2011, 599-610.

Row n=11 of A187783, column k=11 of A089759.

a(n) = (11*n)!/(n!)^11; \\ Andrew Howroyd, Nov 01 2018

a(n) = (11*n)!/(n!)^11. - Andrew Howroyd, Nov 01 2018

Sequence redefined and a(2)-a(6) from Andrew Howroyd, Nov 01 2018

A198807 Number of closed paths of length 13n whose steps are 13th roots of unity.

Original entry on oeis.org

1, 6227020800, 49229914688306352000000, 1561776277448122046153927884800000000, 92024242230271040357108320801872044844750000000000, 7708574168669332219803079339976372645861971547841327593737420800

Offset: 0

Simon Plouffe, Oct 30 2011

nonn

Equivalently, the number of paths of length 13n in Z^13 from {0}^13 to {n}^13. - Andrew Howroyd, Nov 01 2018

Gilbert Labelle and Annie Lacasse, Closed paths whose steps are roots of unity, in FPSAC 2011, Reykjavik, Iceland DMTCS proc. AO, 2011, 599-610.

Row n=13 of A187783, column k=13 of A089759.

a(n) = (13*n)!/(n!)^13; \\ Andrew Howroyd, Nov 01 2018

a(n) = (13*n)!/(n!)^13. - Andrew Howroyd, Nov 01 2018

Sequence redefined and a(2)-a(5) from Andrew Howroyd, Nov 01 2018

cp's OEIS Frontend

A198803 Number of closed paths of length 17n whose steps are 17th roots of unity.

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A198809 Number of closed paths of length 11n whose steps are 11th roots of unity.

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Author

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Crossrefs

Programs

PARI

Formula

Extensions

A198807 Number of closed paths of length 13n whose steps are 13th roots of unity.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

PARI

Formula

Extensions