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

Author

N. J. A. Sloane, Mar 25 2012

Keywords

• nonn

Links

• 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