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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. 0
 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, 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, 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 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. LINKS EXAMPLE Determinant of: 1 is equal to 1. Determinant of: 1,1 -2,0 is equal to 2. Determinant of: 1,1,1 -2,1,0 -3,0,0 is equal to 3. Determinant of: 1,1,1,1 -2,1,0,0 -3,0,1,0 0,-2,0,0 is equal to 4. Determinant of: 1,1,1,1,1 -2,1,0,0,0 -3,0,1,0,0 0,-2,0,1,0 -5,0,0,0,0 is equal to 5. Determinant of: 1,1,1,1,1,1 -2,1,0,0,0,0 -3,0,1,0,0,0 0,-2,0,1,0,0 -5,0,0,0,1,0 6,-3,-2,0,0,0 is equal to 6. PROG (Excel) =if(mod(row(); column())=0; lookup(row()/column(); A000027; A055615); if(row()=1; 1; 0)) CROSSREFS Cf. A143104, A143142. Sequence in context: A172038 A226131 A199056 * A119805 A111957 A125168 Adjacent sequences:  A144963 A144964 A144965 * A144967 A144968 A144969 KEYWORD sign,tabl AUTHOR Mats Granvik, Sep 27 2008 STATUS approved

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Last modified October 16 05:44 EDT 2018. Contains 316259 sequences. (Running on oeis4.)