Definition of Pyramidal numbers. Meaning of Pyramidal numbers. Synonyms of Pyramidal numbers

Here you will find one or more explanations in English for the word Pyramidal numbers. Also in the bottom left of the page several parts of wikipedia pages related to the word Pyramidal numbers and, of course, Pyramidal numbers synonyms and on the right images related to the word Pyramidal numbers.

Definition of Pyramidal numbers

Pyramidal numbers
2. (Crystallog.) Same as Tetragonal. Pyramidal numbers (Math.), certain series of figurate numbers expressing the number of balls or points that may be arranged in the form of pyramids. Thus 1, 4, 10, 20, 35, etc., are triangular pyramidal numbers; and 1, 5, 14, 30, 55, etc., are square pyramidal numbers.

Meaning of Pyramidal numbers from wikipedia

- pyramidal number is the number of points in a pyramid with a polygonal base and triangular sides. The term often refers to square pyramidal numbers,...
- In mathematics, a pyramid number, or square pyramidal number, is a natural number that counts the stacked spheres in a pyramid with a square base. The...
- A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron...
- pyramid of numbers representing the number of individual organisms at each trophic level. Pyramids of energy are normally upright, but other pyramids...
- truncated triangular pyramid number is found by removing (truncating) some smaller tetrahedral number (or triangular pyramidal number) from each of the...
- +N^{2}={\frac {N(N+1)(2N+1)}{6}}.} The first values of these sums, the square pyramidal numbers, are: (sequence A000330 in the OEIS) 0, 1, 5, 14, 30, 55, 91, 140...
- member of the subset of the sets above containing only triangular numbers, pyramidal numbers, and their analogs in other dimensions. Some kinds of figurate...
- viewed as figurate numbers, a four-dimensional hyperpyramidal generalization of the triangular numbers and square pyramidal numbers. As Stein (1971) observes...
- as a sum of two abundant numbers 20230 = pentagonal pyramidal number 20412 = Leyland number: 93 + 39 20540 = square pyramidal number 20569 = tetranacci...
- OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.)". The On-Line...