28314

Appears in sequences

• Number of rooted cubic maps with 2n nodes and a distinguished Hamiltonian cycle: (2n)!(2n+1)! / (n!^2*(n+1)!(n+2)!).at n=5A000356
• Coefficient of x^8 in expansion of (1+x+x^2)^n.at n=8A005716
• Expansion of (2 - x)^4/(1 - x)^8.at n=8A006637
• Theta series of direct sum of 3 copies of hexagonal lattice.at n=36A008654
• Form array in which n-th row is obtained by expanding (1 + x + x^2)^n and taking the 4th column from the center.at n=8A014533
• Numbers k such that k*(k+8) is a palindrome.at n=18A028567
• Sum of divisors of those numbers n such that n and n+1 have the same sum of divisors.at n=10A053215
• Triangle T(n,k) read by rows: related to David G. Cantor's sigma function.at n=50A073165
• Triangle T(n,k) read by rows: related to David G. Cantor's sigma function.at n=59A073165
• Square array T(n,k) read by antidiagonals: T(n,k) = Product_{1<=i<=j<=k} (n+i+j-1)/(i+j-1).at n=32A102539
• Square array T(n,k) read by antidiagonals: T(n,k) = Product_{1<=i<=j<=k} (n+i+j-1)/(i+j-1).at n=39A102539
• Triangle read by rows: T(n,k) is the number of ternary words of length n on {0,1,2} having k drops (n>=0, k>=0). The drops of a ternary word on {0,1,2} are the subwords 10,20 and 21.at n=46A120906
• a(n) = (1/(1!*2!*3!*4!))*Sum_{1 <= x_1, x_2, x_3, x_4 <= n} |det V(x_1,x_2,x_3,x_4)|, where V(x_1,x_2,x_3,x_4) is the Vandermonde matrix of order 4.at n=9A133111
• Triangular array, read by rows, associated with sums of certain Vandermonde determinants.at n=40A133112
• Triangular array, read by rows, associated with sums of certain Vandermonde determinants.at n=48A133112
• Dimensions of certain Lie algebra (see reference for precise definition).at n=4A133348
• Dimensions of certain Lie algebra (see reference for precise definition).at n=5A133355
• Number of sequences of length n with elements {-2,-1,+1,+2}, such that the sum of elements of the whole sequence but of no proper subsequence equals 0 modulo n. For n>=4, the number of Hamiltonian (directed) circuits on the circulant graph C_n(1,2).at n=24A137725
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 1), (0, 1, -1), (0, 1, 1), (1, -1, 1)}.at n=9A148915
• Triangle T(n,k) read by rows: the coefficient [x^k] of the product_{s=1..n} (x+16*cos(s*Pi/(2n+1))^4), 0<=k<=n.at n=47A179837