-2008

Appears in sequences

• Let n be a positive integer, n>3. Define a tournament on the vertex set {2,3,..,n} by: for i < j, i is adjacent to j if i divides j, else j is adjacent to i. If T(n) denotes its adjacency matrix, then the above sequence is det(T(n))for n=4,5,6....42.at n=17A057980
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 6.at n=42A060025
• New tetradiagonal form matrix as triangular sequence from solution of : X(n,m)=Steinbach(n,m)^(-1).tri-Antidiagonal_1(n,n).at n=73A124020
• G.f. A(x,y) satisfies: Sum_{n=-oo...+oo} (x^n + y)^n = exp( (1-y) * A(x,y) ) / (1-y), where A(x,y) = Sum_{n>=1} x^n/n * Sum{k=0..n-1} T(n,k)*y^k, written here as a flattened triangle of coefficients T(n,k) read by rows.at n=37A321600
• a(n) = n - A332215(n).at n=37A364253