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Matrix square of inverse triangle A096651; transforms n-dimensional partitions into (n-2)-dimensional partitions.
1

%I #3 Mar 30 2012 18:36:41

%S 1,0,1,0,-2,1,0,1,-2,1,0,3,-1,-2,1,0,-6,9,-3,-2,1,0,-3,-7,15,-5,-2,1,

%T 0,23,-27,-6,21,-7,-2,1,0,9,15,-32,-5,27,-9,-2,1,0,-141,360,-267,16,

%U -6,33,-11,-2,1,0,-74,-1603,2691,-1216,161,-11,39,-13,-2,1,0,1139,10961,-20469,11512,-3489,457,-22,45,-15,-2,1,0,1119

%N Matrix square of inverse triangle A096651; transforms n-dimensional partitions into (n-2)-dimensional partitions.

%C Also matrix square of triangle A096874. Row sums form A096876.

%e Rows begin:

%e [1],

%e [0,1],

%e [0,-2,1],

%e [0,1,-2,1],

%e [0,3,-1,-2,1],

%e [0,-6,9,-3,-2,1],

%e [0,-3,-7,15,-5,-2,1],

%e [0,23,-27,-6,21,-7,-2,1],

%e [0,9,15,-32,-5,27,-9,-2,1],

%e [0,-141,360,-267,16,-6,33,-11,-2,1],

%e [0,-74,-1603,2691,-1216,161,-11,39,-13,-2,1],

%e [0,1139,10961,-20469,11512,-3489,457,-22,45,-15,-2,1],

%e [0,1119,-140656,226512,-116125,36536,-8079,968,-41,51,-17,-2,1],

%e [0,-10921,1858877,-2993422,1507887,-444319,95633,-16387,1768,-70,57,-19,-2,1],...

%Y Cf. A096651, A096874, A096876.

%K sign,tabl

%O 0,5

%A _Paul D. Hanna_, Jul 13 2004