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

0,2

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,...

Links

Table of n, a(n) for n=0..19.

Formula

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

Example

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

Crossrefs

Sequence in context: A175847 A089412 A058798 * A020029 A020119 A109995

Adjacent sequences: A122593 A122594 A122595 * A122597 A122598 A122599

Keyword

nonn

Author

Paul Curtz, Jun 07 2007

Extensions

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

Status

approved