A122596 Antidiagonal sums of the row-reversed triangle A048998 of Bernoulli polynomial coefficients.

1, 2, 5, 18, 85, 492, 3360, 26400, 234356, 2318280, 25278120, 301143360, 3891041400, 54191780160, 809233528320, 12897125337600, 218497018912704, 3920950622655360, 74295176671900800, 1482268147441804800

Offset: 0

Author

Paul Curtz, Jun 07 2007

Keywords

• nonn

Comments

A048998 with all rows reversed is

1

2.....-1

6.....-6...1

24...-36..12.0

120.-240.120.0.-4

The signed antidiagonal sums are sum_{m=0..n/2}(-1)^m*A048998(n-m,n-2m) = 1, 2, 7, 30, 157, 972, 6960, 56640, 516596,...

The antidiagonal sums of A048998 in its original order are 1, -1, 3, -6, 14, -36, 144, -240, -6576, -1800, 2143560, -15120,...

Examples

			a(3)=24-6=18. a(4)=120-36+1=85.
		

Crossrefs

Cf. A048998.

Formula

a(n) = Sum_{m=0..n/2} A048998(n-m,n-2m). - R. J. Mathar, Jul 12 2008

Extensions

Partially edited and extended by R. J. Mathar, Jul 12 2008