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A122596 Antidiagonal sums of the row-reversed triangle A048998 of Bernoulli polynomial coefficients. 0
1, 2, 5, 18, 85, 492, 3360, 26400, 234356, 2318280, 25278120, 301143360, 3891041400, 54191780160, 809233528320, 12897125337600, 218497018912704, 3920950622655360, 74295176671900800, 1482268147441804800 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 18 22:46 EDT 2021. Contains 344006 sequences. (Running on oeis4.)