43712

Appears in sequences

• Number of points of L1 norm 3 in cubic lattice Z^n.at n=32A035597
• Coordination sequence for 32-dimensional cubic lattice.at n=3A035727
• Coordination sequence for lattice D*_32 (with edges defined by l_1 norm = 1).at n=3A035801
• Number of subsets of {1,2,3,...,n} that sum to 0 mod 3.at n=17A068010
• Number of subsets of {1,2,3,...,n} that sum to 0 mod 6.at n=18A068012
• Triangle T, read by rows, where T(n,k) = [T^2](n-1,k) + [T^2](n-2,k-1) (n>k>0), with T(n,0) = [T^2](n-1,0) (n>0) and T(n,n) = 1 (n>=0), where T^2 is the matrix square of T.at n=58A109316
• Numbers k such that phi(k) + k is a fourth power.at n=23A114072
• Triangle read by rows: row n is the first row of the matrix M[n]^(n-1), where M[n] is the n X n tridiagonal matrix with main diagonal (2,4,4,...) and super- and subdiagonals (1,1,1,...).at n=39A124575
• G.f.: Sum_{n>=0} arctanh(4^n*x)^n/n!, a power series in x having only integer coefficients.at n=3A141368
• Expansion of Product_{k>=1} ((1 + x^k)/(1 + x^(3*k)))^k.at n=23A263345
• Number of nX6 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.at n=2A275350
• T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.at n=30A275352
• Number of 3Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.at n=5A275353
• a(n) = one-half of the number of cells in the central rectangle of the graph described in row 2n+1 of A333288.at n=32A337640
• Table read by downward antidiagonals: T(n,k) is the number of tilings of the n X k cylinder up to horizontal reflection by an asymmetric tile.at n=30A368259