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A144966 Square array T(n,k) read by antidiagonals up. A055615 interleaved with k-1 zeros in each column. Redheffer type matrix.

%I A144966 #3 Apr 25 2016 11:45:53
%S A144966 1,-2,1,-3,1,1,0,0,0,1,-5,-2,1,0,1,6,0,0,0,0,1,-7,-3,0,1,0,0,1,0,0,-2,
%T A144966 0,0,0,0,1,0,0,0,0,1,0,0,0,1,10,0,0,0,0,0,0,0,0,1,-11,-5,-3,-2,0,1,0,
%U A144966 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,-13,6,0,0,0,0,1,0,0,0,0,0,1,14,0,0,0,-2,0
%N A144966 Square array T(n,k) read by antidiagonals up. A055615 interleaved with k-1 zeros in each column. Redheffer type matrix.
%C A144966 Determinant of this array appears to be the triangular numbers. The number of permutations that contribute to the result of the zero corner determinant that give the natural numbers, appears to be given by A002033.
%e A144966 Determinant of:
%e A144966 1
%e A144966 is equal to 1.
%e A144966 Determinant of:
%e A144966 1,1
%e A144966 -2,0
%e A144966 is equal to 2.
%e A144966 Determinant of:
%e A144966 1,1,1
%e A144966 -2,1,0
%e A144966 -3,0,0
%e A144966 is equal to 3.
%e A144966 Determinant of:
%e A144966 1,1,1,1
%e A144966 -2,1,0,0
%e A144966 -3,0,1,0
%e A144966 0,-2,0,0
%e A144966 is equal to 4.
%e A144966 Determinant of:
%e A144966 1,1,1,1,1
%e A144966 -2,1,0,0,0
%e A144966 -3,0,1,0,0
%e A144966 0,-2,0,1,0
%e A144966 -5,0,0,0,0
%e A144966 is equal to 5.
%e A144966 Determinant of:
%e A144966 1,1,1,1,1,1
%e A144966 -2,1,0,0,0,0
%e A144966 -3,0,1,0,0,0
%e A144966 0,-2,0,1,0,0
%e A144966 -5,0,0,0,1,0
%e A144966 6,-3,-2,0,0,0
%e A144966 is equal to 6.
%o A144966 (Excel) =if(mod(row(); column())=0; lookup(row()/column(); A000027; A055615); if(row()=1; 1; 0))
%Y A144966 Cf. A143104, A143142.
%K A144966 sign,tabl
%O A144966 1,2
%A A144966 _Mats Granvik_, Sep 27 2008