n / k 0 1 2 3 4 5 6 7 8 9 0 1 1 0 1 2 0 − 1 1 3 0 2 − 3 1 4 0 − 6 11 − 6 1 5 0 24 − 50 35 − 10 1 6 0 − 120 274 − 225 85 − 15 1 7 0 720 − 1764 1624 − 735 175 − 21 1 8 0 − 5040 13068 − 13132 6769 − 1960 322 − 28 1 9 0 40320 − 109584 118124 − 67284 22449 − 4536 546 − 36 1 {\displaystyle {\begin{matrix}\mathbf {n} /{\mathit {k}}&\ {\mathit {0}}\ &\ {\mathit {1}}\ &{\mathit {2}}&{\mathit {3}}&{\mathit {4}}&{\mathit {5}}&{\mathit {6}}&{\mathit {7}}&{\mathit {8}}&{\mathit {9}}\\\mathbf {0} &1\\\mathbf {1} &0&\ \ \ 1\\\mathbf {2} &0&-1&\ \ \ 1\\\mathbf {3} &0&\ \ \ 2&-3&\ \ \ 1\\\mathbf {4} &0&-6&\ \ \ 11&-6&\ \ \ 1\\\mathbf {5} &0&\ \ \ 24&-50&\ \ \ 35&-10&\ \ \ 1\\\mathbf {6} &0&-120&\ \ \ 274&-225&\ \ \ 85&-15&\ \ \ 1\\\mathbf {7} &0&\ \ \ 720&-1764&\ \ \ 1624&-735&\ \ \ 175&-21&\ \ \ 1\\\mathbf {8} &0&-5040&\ \ \ 13068&-13132&\ \ \ 6769&-1960&\ \ \ 322&-28&\ \ \ 1\\\mathbf {9} &0&\ \ \ 40320&-109584&\ \ \ 118124&-67284&\ \ \ 22449&-4536&\ \ \ 546&-36&1\\\end{matrix}}}
