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Centered pentagonal number information


A centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding the center in successive pentagonal layers. The centered pentagonal number for n is given by the formula

The first few centered pentagonal numbers are

1, 6, 16, 31, 51, 76, 106, 141, 181, 226, 276, 331, 391, 456, 526, 601, 681, 766, 856, 951, 1051, 1156, 1266, 1381, 1501, 1626, 1756, 1891, 2031, 2176, 2326, 2481, 2641, 2806, 2976 (sequence A005891 in the OEIS).

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Centered pentagonal number

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A centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding the center...

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Pentagonal number

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involved in the construction of pentagonal numbers are not rotationally symmetrical. The nth pentagonal number pn is the number of distinct dots in a pattern...

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Centered polygonal number

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. (OEIS: A001844), centered pentagonal numbers 1, 6, 16, 31, 51, 76, 106, 141, 181, 226, 276, 331, ... (OEIS: A005891), centered hexagonal numbers 1...

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5

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is the first prime centered pentagonal number, and the fifth centered triangular number. The fifth pentagonal and tetrahedral number is 35, which is equal...

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List of recreational number theory topics

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number Centered polygonal number Centered square number Centered pentagonal number Centered hexagonal number Tetrahedral number Pyramidal number Triangular...

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Pyramidal number

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385, 506, 650, 819, ... (sequence A000330 in the OEIS). The first few pentagonal pyramidal numbers are: 1, 6, 18, 40, 75, 126, 196, 288, 405, 550, 726...

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Pentagon

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echinoderms with a pentagonal shape. A Ho-Mg-Zn icosahedral quasicrystal formed as a pentagonal dodecahedron. The faces are true regular pentagons. A pyritohedral...

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The Pentagon

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with a central five-acre (2.0 ha) pentagonal plaza. About 23,000 military and civilian employees work in the Pentagon, as well as about 3,000 non-defense...

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Centered octahedral number

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the six vertices of a pentagonal pyramid, and each successive shell forms a larger pentagonal pyramid with a triangular number of points on each triangular...

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Centered triangular number

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A centered (or centred) triangular number is a centered figurate number that represents an equilateral triangle with a dot in the center and all its other...

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Polygonal number

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on 2013-05-29. Retrieved 2010-05-13. Weisstein, Eric W. "Pentagonal Square Triangular Number". MathWorld. The Penguin Dictionary of Curious and Interesting...

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