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- Centered_octagonal_number abstract "A centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center dot in successive octagonal layers. The centered octagonal number for n is given by the formula where T is a regular triangular number, or much more simply, by squaring the odd numbers:The first few centered octagonal numbers are1, 9, 25, 49, 81, 121, 169, 225, 289, 361, 441, 529, 625, 729, 841, 961, 1089All centered octagonal numbers are odd, and in base 10 one can notice the one's digits follow the pattern 1-9-5-9-1. An odd number is a centered octagonal number if and only if it is a perfect square.Calculating Ramanujan's tau function on a centered octagonal number yields an odd number, whereas for any other number the function yields an even number.See also regular octagonal number.".
- Centered_octagonal_number thumbnail Centered_octagonal_number.svg?width=300.
- Centered_octagonal_number wikiPageID "1215851".
- Centered_octagonal_number wikiPageRevisionID "557557760".
- Centered_octagonal_number hasPhotoCollection Centered_octagonal_number.
- Centered_octagonal_number subject Category:Figurate_numbers.
- Centered_octagonal_number type Abstraction100002137.
- Centered_octagonal_number type Amount105107765.
- Centered_octagonal_number type Attribute100024264.
- Centered_octagonal_number type FigurateNumbers.
- Centered_octagonal_number type Magnitude105090441.
- Centered_octagonal_number type Number105121418.
- Centered_octagonal_number type Property104916342.
- Centered_octagonal_number comment "A centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center dot in successive octagonal layers.".
- Centered_octagonal_number label "Centered octagonal number".
- Centered_octagonal_number label "Nombre octogonal centré".
- Centered_octagonal_number label "Numero ottagonale centrato".
- Centered_octagonal_number label "Центрированное восьмиугольное число".
- Centered_octagonal_number label "عدد ممركز مثمني".
- Centered_octagonal_number sameAs Nombre_octogonal_centré.
- Centered_octagonal_number sameAs Numero_ottagonale_centrato.
- Centered_octagonal_number sameAs 중심있는_팔각수.
- Centered_octagonal_number sameAs m.04j1fn.
- Centered_octagonal_number sameAs Q1589528.
- Centered_octagonal_number sameAs Q1589528.
- Centered_octagonal_number sameAs Centered_octagonal_number.
- Centered_octagonal_number wasDerivedFrom Centered_octagonal_number?oldid=557557760.
- Centered_octagonal_number depiction Centered_octagonal_number.svg.
- Centered_octagonal_number isPrimaryTopicOf Centered_octagonal_number.
