A180057 The LCM of the n-th row of the triangle of Eulerian numbers, A008292.

1, 1, 1, 4, 11, 858, 17214, 14387280, 16561934649, 12632627296395920, 1806607850839536160, 60680518911947880747545184, 3970597825550456048739497554530, 2125765417629321139616806005661738101300, 126059631064606828307362820570036049789588446100

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

Table of n, a(n) for n=0..14.

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 A354777

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