This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A180057 The LCM of the n-th row of the triangle of Eulerian numbers, A008292. 0
 1, 1, 1, 4, 11, 858, 17214, 14387280, 16561934649, 12632627296395920, 1806607850839536160, 60680518911947880747545184, 3970597825550456048739497554530, 2125765417629321139616806005661738101300, 126059631064606828307362820570036049789588446100 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Define the Eulerian numbers A(n,k) to be the number of permutations of {1,2,..,n} with k ascents: A(n,k) = Sum_{j=0..k} (-1)^j binomial(n+1,j)(k-j+1)^n. Then a(n) = lcm(A(n,0), A(n,1), ..., A(n,n)). LINKS Digital Library of Mathematical Functions, Table 26.14.1 PROG (PARI) a(n) = lcm(vector(n, k, sum(j=0, k, (-1)^j * (k-j)^n * binomial(n+1, j)))); \\ Michel Marcus, Mar 13 2018 CROSSREFS Cf. A008292. Sequence in context: A216571 A299046 A113314 * A222316 A255383 A218858 Adjacent sequences:  A180054 A180055 A180056 * A180058 A180059 A180060 KEYWORD nonn AUTHOR Peter Luschny, Aug 08 2010 EXTENSIONS Partially edited by N. J. A. Sloane, Aug 08 2010 More terms from Michel Marcus, Mar 13 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 17 12:25 EDT 2019. Contains 328112 sequences. (Running on oeis4.)