OFFSET
0,2
COMMENTS
Triangular array based on recurrence in Laplace function in J. W. S. Rayleigh.
REFERENCES
J. W. S. Rayleigh, The Theory of Sound, volume 2, page 237,Dover, New York,1945
FORMULA
Row sums: sum_{n=0..m-1} a(n,m) = -m(m+1)(3m^2-5m-4)/12. [From R. J. Mathar, Jan 15 2009]
EXAMPLE
1,
3, -2,
6, -5, -9,
10, -9, -21,-20,
15, -14,-36,-45, -35
MATHEMATICA
a = Table[Table[(m + 1)*(2*n - 1)*(n - m)*(n + m + 1)/(2*(m + 1)), {n, 0, m - 1}], {m, 1, 10}] Flatten[a]
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Roger L. Bagula, Jul 19 2006
EXTENSIONS
Edited by N. J. A. Sloane, Oct 01 2006
STATUS
approved