n\k_____0_______1_______2_______3_______4_______5_______6_______7
0_______1
1_______1_______1
2_______1_______2_______2
3_______1_______3_______5_______5
4_______1_______4_______9_______14______14
5_______1_______5_______14______28______42______42
6_______1_______6_______20______48______90______132_____132
7_______1_______7_______27______75______165_____297_____429_____429
0_______1
1_______1_______1
2_______1_______2_______2
3_______1_______3_______5_______5
4_______1_______4_______9_______14______14
5_______1_______5_______14______28______42______42
6_______1_______6_______20______48______90______132_____132
7_______1_______7_______27______75______165_____297_____429_____429
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