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A198803 Number of closed paths of length 17n whose steps are 17th roots of unity. 1
1, 355687428096000, 2252447502438386084347676160000000, 91637618063484032681381970173925718228992000000000000, 8528384964488882787308232082310780143738202829970606470279000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Equivalently, the number of paths of length 17n in Z^17 from {0}^17 to {n}^17. - Andrew Howroyd, Nov 01 2018
LINKS
Gilbert Labelle and Annie Lacasse, Closed paths whose steps are roots of unity, in FPSAC 2011, Reykjavik, Iceland DMTCS proc. AO, 2011, 599-610.
FORMULA
a(n) = (17*n)!/(n!)^17. - Andrew Howroyd, Nov 01 2018
PROG
(PARI) a(n) = (17*n)!/(n!)^17; \\ Andrew Howroyd, Nov 01 2018
CROSSREFS
Row n=17 of A187783, column k=17 of A089759.
Sequence in context: A239922 A011528 A172542 * A317290 A128769 A261150
KEYWORD
nonn
AUTHOR
Simon Plouffe, Oct 30 2011
EXTENSIONS
Sequence redefined and a(2)-a(4) from Andrew Howroyd, Nov 01 2018
STATUS
approved

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)