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5((x^5)_infty^5)/((x)_infty^6)=sum_(m=0)^inftyP(5m+4)x^m, where (x)_infty is a q-Pochhammer symbol and P(n) is the partition function P.

A refinement X of a cover Y is a cover such that every element x in X is a subset of an element y in Y.

One of the 14 4-polyaboloes.

The three 3-polyiamonds are called tetriamonds.

B_(p+k)=B_k+B_(k+1) (mod p), when p is prime and B_n is a Bell number.

One of the four 3-polyaboloes.

The unique 3-polyiamond, illustrated above.

A^n+B^n=sum_(j=0)^(|_n/2_|)(-1)^jn/(n-j)(n-j; j)(AB)^j(A+B)^(n-2j), where |_x_| is the floor function and (n; k) is a binomial coefficient.

The 24-cell is a finite regular four-dimensional polytope with Schläfli symbol {3,4,3}. It is also known as the hyperdiamond or icositetrachoron, and is composed of 24 ...

A prism graph, denoted Y_n, D_n (Gallian 1987), or Pi_n (Hladnik et al. 2002), and sometimes also called a circular ladder graph and denoted CL_n (Gross and Yellen 1999, p. ...