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Concept information

... > mathematical analysis > calculus > sequence > integer sequence > figurate number > centered polygonal numbers > star number
number > natural numbers > figurate number > centered polygonal numbers > star number

Terme préférentiel

star number  

Définition

  • A star number is a centered figurate number, a centered hexagram (six-pointed star), such as the Star of David, or the board Chinese checkers is played on.
    1 13 37
    * *
    ****
    ***
    ****
    *     		*
    **
    *******
    ******
    *****
    ******
    *******
    **
    *

    The nth star number is given by the formula Sn = 6n(n − 1) + 1. The first 45 star numbers are 1, 13, 37, 73, 121, 181, 253, 337, 433, 541, 661, 793, 937, 1093, 1261, 1441, 1633, 1837, 2053, 2281, 2521, 2773, 3037, 3313, 3601, 3901, 4213, 4537, 4873, 5221, 5581, 5953, 6337, 6733, 7141, 7561, 7993, 8437, 8893, 9361, 9841, 10333, 10837, 11353, and 11881. (sequence A003154 in the OEIS).
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Star_number)

Concept générique

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-D5M6N18J-3

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