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A122596
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Antidiagonal sums of the row-reversed triangle A048998 of Bernoulli polynomial coefficients.
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0
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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; internal format)
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OFFSET
| 0,2
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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,...
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FORMULA
| a(n) = sum_{m=0..n/2} A048998(n-m,n-2m). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 12 2008
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EXAMPLE
| a(3)=24-6=18. a(4)=120-36+1=85.
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CROSSREFS
| Sequence in context: A175847 A089412 A058798 * A020029 A020119 A109995
Adjacent sequences: A122593 A122594 A122595 * A122597 A122598 A122599
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KEYWORD
| nonn
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AUTHOR
| Paul Curtz (bpcrtz(AT)free;fr1), Jun 07 2007
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EXTENSIONS
| Partially edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 12 2008
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