A centered tetrahedral number is a centered figurate number that represents a tetrahedron. That is, it counts the dots in a three-dimensional dot pattern with a single dot surrounded by tetrahedral shells.[1] The th centered tetrahedral number, starting at for a single dot, is:[2][3]
A centeredtetrahedralnumber is a centered figurate number that represents a tetrahedron. That is, it counts the dots in a three-dimensional dot pattern...
A tetrahedralnumber, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron...
starts: 1, 5, 12, 22, 35, ... 5 is a centeredtetrahedralnumber: 1, 5, 15, 35, 69, ... Every centeredtetrahedralnumber with an index of 2, 3 or 4 modulo...
A centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding the center...
nth centered k-gonal number can be obtained by placing k copies of the (nā1)th triangular number around a central point; therefore, the nth centered k-gonal...
_{k=1}^{n}k\right)^{2}.} The sum of the first n triangular numbers is the nth tetrahedralnumber: ā k = 1 n T k = ā k = 1 n k ( k + 1 ) 2 = n ( n + 1 ) ( n + 2 ) 6...
In a tetrahedral molecular geometry, a central atom is located at the center with four substituents that are located at the corners of a tetrahedron....
number is used for triangular numbers made up of successive integers, tetrahedral numbers made up of successive triangular numbers, etc. These turn out...
A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center...
combinatorics, a centered hexagonal number, or hex number, is a centered figurate number that represents a hexagon with a dot in the center and all other...
pentatope numbers represent the number of possible arrangements of n different polypeptide subunits in a tetrameric (tetrahedral) protein. Deza, Elena; Deza...
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