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- Centered_triangular_number abstract "A centered (or centred) triangular number is a centered figurate number that represents a triangle with a dot in the center and all other dots surrounding the center in successive triangular layers. The centered triangular number for n is given by the formula The following image shows the building of the centered triangular numbers using the associated figures: at each step the previous figure, shown in red, is surrounded by a triangle of new points, in blue.constructionThe first few centered triangular numbers are:1, 4, 10, 19, 31, 46, 64, 85, 109, 136, 166, 199, 235, 274, 316, 361, 409, 460, 514, 571, 631, 694, 760, 829, 901, 976, 1054, 1135, 1219, 1306, 1396, 1489, 1585, 1684, 1786, 1891, 1999, 2110, 2224, 2341, 2461, 2584, 2710, 2839, 2971, … (sequence A005448 in OEIS).Each centered triangular number from 10 onwards is the sum of three consecutive regular triangular numbers. Also each centered triangular number has a remainder of 1 when divided by three and the quotient (if positive) is the previous regular triangular number.The sum of the first n centered triangular numbers is the magic constant for an n by n normal magic square for n > 2.".
- Centered_triangular_number thumbnail Construct-nombres-tri-centres.png?width=300.
- Centered_triangular_number wikiPageID "857110".
- Centered_triangular_number wikiPageRevisionID "588243658".
- Centered_triangular_number hasPhotoCollection Centered_triangular_number.
- Centered_triangular_number title "Centered Triangular Number".
- Centered_triangular_number urlname "CenteredTriangularNumber".
- Centered_triangular_number subject Category:Figurate_numbers.
- Centered_triangular_number type Abstraction100002137.
- Centered_triangular_number type Amount105107765.
- Centered_triangular_number type Attribute100024264.
- Centered_triangular_number type FigurateNumbers.
- Centered_triangular_number type Magnitude105090441.
- Centered_triangular_number type Number105121418.
- Centered_triangular_number type Property104916342.
- Centered_triangular_number comment "A centered (or centred) triangular number is a centered figurate number that represents a triangle with a dot in the center and all other dots surrounding the center in successive triangular layers.".
- Centered_triangular_number label "Centered triangular number".
- Centered_triangular_number label "Nombre triangulaire centré".
- Centered_triangular_number label "Numero triangolare centrato".
- Centered_triangular_number label "Zentrierte Dreieckszahl".
- Centered_triangular_number label "Центрированное треугольное число".
- Centered_triangular_number label "عدد ممركز مثلثي".
- Centered_triangular_number label "中心三角形數".
- Centered_triangular_number sameAs Zentrierte_Dreieckszahl.
- Centered_triangular_number sameAs Nombre_triangulaire_centré.
- Centered_triangular_number sameAs Numero_triangolare_centrato.
- Centered_triangular_number sameAs 중심있는_삼각수.
- Centered_triangular_number sameAs m.03hrq4.
- Centered_triangular_number sameAs Q190890.
- Centered_triangular_number sameAs Q190890.
- Centered_triangular_number sameAs Centered_triangular_number.
- Centered_triangular_number wasDerivedFrom Centered_triangular_number?oldid=588243658.
- Centered_triangular_number depiction Construct-nombres-tri-centres.png.
- Centered_triangular_number isPrimaryTopicOf Centered_triangular_number.
