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- Centered_hexagonal_number abstract "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 dots surrounding the center dot in a hexagonal lattice.The nth centered hexagonal number is given by the formulaExpressing the formula asshows that the centered hexagonal number for n is 1 more than 6 times the (n − 1)th triangular number.The first few centered hexagonal numbers are (sequence A003215 in OEIS):1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, 469, 547, 631, 721, 817, 919.In base 10 one can notice that the hexagonal numbers' rightmost (least significant) digits follow the pattern 1–7–9–7–1.Centered hexagonal numbers have practical applications in materials logistics management, for example, in packing round items into larger round containers, such as Vienna sausages into round cans, or combining individual wire strands into a cable.The sum of the first n centered hexagonal numbers happens to be n3. That is, centered hexagonal pyramidal numbers and cubes are the same numbers, but they represent different shapes. Viewed from the opposite perspective, centered hexagonal numbers are differences of two consecutive cubes, so that the centered hexagonal numbers are the gnomon of the cubes. In particular, prime centered hexagonal numbers are cuban primes.The difference between (2n)2 and the nth centered hexagonal number is a number of the form 3n2 + 3n − 1, while the difference between (2n − 1)2 and the nth centered hexagonal number is a pronic number.".
- Centered_hexagonal_number thumbnail RedDotX.svg?width=300.
- Centered_hexagonal_number wikiPageID "497485".
- Centered_hexagonal_number wikiPageRevisionID "595153020".
- Centered_hexagonal_number hasPhotoCollection Centered_hexagonal_number.
- Centered_hexagonal_number subject Category:Figurate_numbers.
- Centered_hexagonal_number type Abstraction100002137.
- Centered_hexagonal_number type Amount105107765.
- Centered_hexagonal_number type Attribute100024264.
- Centered_hexagonal_number type FigurateNumbers.
- Centered_hexagonal_number type Magnitude105090441.
- Centered_hexagonal_number type Number105121418.
- Centered_hexagonal_number type Property104916342.
- Centered_hexagonal_number comment "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 dots surrounding the center dot in a hexagonal lattice.The nth centered hexagonal number is given by the formulaExpressing the formula asshows that the centered hexagonal number for n is 1 more than 6 times the (n − 1)th triangular number.The first few centered hexagonal numbers are (sequence A003215 in OEIS):1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, 469, 547, 631, 721, 817, 919.In base 10 one can notice that the hexagonal numbers' rightmost (least significant) digits follow the pattern 1–7–9–7–1.Centered hexagonal numbers have practical applications in materials logistics management, for example, in packing round items into larger round containers, such as Vienna sausages into round cans, or combining individual wire strands into a cable.The sum of the first n centered hexagonal numbers happens to be n3. ".
- Centered_hexagonal_number label "Centered hexagonal number".
- Centered_hexagonal_number label "Nombre hexagonal centré".
- Centered_hexagonal_number label "Numero esagonale centrato".
- Centered_hexagonal_number label "Número hexagonal centrado".
- Centered_hexagonal_number label "Zentrierte Sechseckszahl".
- Centered_hexagonal_number label "Центрированные шестиугольные числа".
- Centered_hexagonal_number label "عدد ممركز مسدسي".
- Centered_hexagonal_number label "中心つき六角数".
- Centered_hexagonal_number label "中心六邊形數".
- Centered_hexagonal_number sameAs Zentrierte_Sechseckszahl.
- Centered_hexagonal_number sameAs Nombre_hexagonal_centré.
- Centered_hexagonal_number sameAs Numero_esagonale_centrato.
- Centered_hexagonal_number sameAs 中心つき六角数.
- Centered_hexagonal_number sameAs 중심있는_육각수.
- Centered_hexagonal_number sameAs Número_hexagonal_centrado.
- Centered_hexagonal_number sameAs m.02hk54.
- Centered_hexagonal_number sameAs Q190899.
- Centered_hexagonal_number sameAs Q190899.
- Centered_hexagonal_number sameAs Centered_hexagonal_number.
- Centered_hexagonal_number wasDerivedFrom Centered_hexagonal_number?oldid=595153020.
- Centered_hexagonal_number depiction RedDotX.svg.
- Centered_hexagonal_number isPrimaryTopicOf Centered_hexagonal_number.
