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Encyclopedia > Decagonal number

A decagonal number is a figurate number that represents a decagon. The decagonal number for n is given by the formula 4n2 - 3n, with n > 0. The first few decagonal numbers are A figurate number is a number that can be represented as a regular and discrete geometric pattern (e. ... An image of a Regular Decagon In geometry, a decagon is any polygon with ten sides and ten angles, and usually refers to a regular decagon, having all sides of equal length and all angles equal to 144°. Its Schläfli symbol is {10}. The area of a regular decagon...


1, 10, 27, 52, 85, 126, 175, 232, 297, 370, 451, 540, 637, 742, 855, 976, 1105, 1242, 1387, 1540, 1701, 1870, 2047, 2232, 2425, 2626, 2835, 3052, 3277, 3510, 3751, 4000, 4257, 4522, 4795, 5076, 5365, 5662, 5967, 6280, 6601, 6930, 7267, 7612, 7965, 8326, 8695, 9072, 9457, 9850 Look up one in Wiktionary, the free dictionary. ... 10 (ten) is an even natural number following 9 and preceding 11. ... 27 (twenty-seven) is the natural number following 26 and preceding 28. ... 52 is the natural number following 51 and preceding 53. ... 85 is the natural number following 84 and preceding 86. ... 126 is the natural number following 125 and preceding 127. ... 175 is the natural number following 174 and preceding 176. ... Four thousand (4000) is the natural number following 3999 and preceding 4001. ...


The decagonal number for n can also be calculated by adding the square of n to thrice the nth heteromecic number, or to put it algebraically, Dn = n2 + 3(n2n). A pronic number, or oblong number or heteromecic number, is a number which is the product of two consecutive nonnegative integers, that is, n(n + 1). ...


Decagonal numbers consistently alternate parity. In mathematics, the parity of an object refers to whether is is even or odd. ...


  Results from FactBites:
 
Centered decagonal number - Wikipedia, the free encyclopedia (220 words)
A centered decagonal number is a centered figurate number that represents a decagon with a dot in the center and all other dots surrounding the center dot in successive decagonal layers.
Therefore, all centered decagonal numbers are odd and in base 10 always end in 1.
A centered decagonal prime is a centered decagonal number that is prime.
  More results at FactBites »


 

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