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- Centered_nonagonal_number abstract "A centered nonagonal number is a centered figurate number that represents a nonagon with a dot in the center and all other dots surrounding the center dot in successive nonagonal layers. The centered nonagonal number for n is given by the formula Multiplying the (n - 1)th triangular number by 9 and then adding 1 yields the nth centered nonagonal number, but centered nonagonal numbers have an even simpler relation to triangular numbers: every third triangular number (the 1st, 4th, 7th, etc.) is also a centered nonagonal number.Thus, the first few centered nonagonal numbers are1, 10, 28, 55, 91, 136, 190, 253, 325, 406, 496, 595, 703, 820, 946.Note the following perfect numbers that are in the list: The 3rd centered nonagonal number is 7 x 8 / 2 = 28, and the 11th is 31 x 32 / 2 = 496. Proceeding further: the 43rd is 127 x 128 / 2 = 8128, and the 2731st is 8191 x 8192 / 2 = 33,550,336. Except for 6, all even perfect numbers are also centered nonagonal numbers, with formulawhere 2p-1 is a Mersenne prime.In 1850, Pollock conjectured that every natural number is the sum of at most eleven centered nonagonal numbers, which has been neither proven nor disproven.".
- Centered_nonagonal_number thumbnail Centered_nonagonal_number.svg?width=300.
- Centered_nonagonal_number wikiPageID "1216013".
- Centered_nonagonal_number wikiPageRevisionID "557557823".
- Centered_nonagonal_number hasPhotoCollection Centered_nonagonal_number.
- Centered_nonagonal_number subject Category:Figurate_numbers.
- Centered_nonagonal_number type Abstraction100002137.
- Centered_nonagonal_number type Amount105107765.
- Centered_nonagonal_number type Attribute100024264.
- Centered_nonagonal_number type FigurateNumbers.
- Centered_nonagonal_number type Magnitude105090441.
- Centered_nonagonal_number type Number105121418.
- Centered_nonagonal_number type Property104916342.
- Centered_nonagonal_number comment "A centered nonagonal number is a centered figurate number that represents a nonagon with a dot in the center and all other dots surrounding the center dot in successive nonagonal layers.".
- Centered_nonagonal_number label "Centered nonagonal number".
- Centered_nonagonal_number label "Nombre ennéagonal centré".
- Centered_nonagonal_number label "Numero ennagonale centrato".
- Centered_nonagonal_number label "Центрированное девятиугольное число".
- Centered_nonagonal_number label "عدد ممركز تساعي".
- Centered_nonagonal_number sameAs Nombre_ennéagonal_centré.
- Centered_nonagonal_number sameAs Numero_ennagonale_centrato.
- Centered_nonagonal_number sameAs 중심있는_구각수.
- Centered_nonagonal_number sameAs m.04j1pf.
- Centered_nonagonal_number sameAs Q1587799.
- Centered_nonagonal_number sameAs Q1587799.
- Centered_nonagonal_number sameAs Centered_nonagonal_number.
- Centered_nonagonal_number wasDerivedFrom Centered_nonagonal_number?oldid=557557823.
- Centered_nonagonal_number depiction Centered_nonagonal_number.svg.
- Centered_nonagonal_number isPrimaryTopicOf Centered_nonagonal_number.
