A210627 Constants r_n arising in study of polynomials of least deviation from zero in several variables.

72, 896, 14400, 283392, 6598144, 177373184, 5406289920, 184223744000, 6939874934784, 286375842938880, 12846564299505664, 622448445155704832, 32395710363284275200, 1802446793652649852928, 106760825994912064339968, 6707088257932303257305088, 445456559121345605093294080, 31185504805980142781333504000

Offset

3,1

Links

Table of n, a(n) for n=3..20.

Yuan Xu, On polynomials of least deviation from zero in several variables, J. Experimental Math. 13 (2004), 103-112.

Formula

For n>3, r_n = n*Sum_{k=4..n} k^(n-3) binomial(n,k) [(-1)^k(9k^2-32k+24)+k^2].

Conjecture: a(n) = n*A038049(n). - R. J. Mathar, Mar 27 2012

Crossrefs

Sequence in context: A082949 A330829 A240983 * A019562 A250423 A250650

Adjacent sequences: A210624 A210625 A210626 * A210628 A210629 A210630

Keyword

nonn

Author

N. J. A. Sloane, Mar 25 2012

Status

approved