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The centered icosahedral numbers and cuboctahedral numbers are two different names for the same sequence of numbers, describing two different representations for these numbers as three-dimensional figurate numbers. As centered icosahedral numbers, they are centered numbers representing points arranged in the shape of a regular icosahedron. As cuboctahedral numbers, they represent points arranged in the shape of a cuboctahedron, and are a magic number for the face-centered cubic lattice. The centered icosahedral number for a specific is given by The first such numbers are

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rdfs:label
  • Centered icosahedral number (en)
  • Nombre icosaédrique centré (fr)
  • Centrerat ikosaedertal (sv)
rdfs:comment
  • Un nombre icosaédrique centré est nombre figuré polyédrique centré qui représente un icosaèdre. Le nombre icosaédrique centré pour un certain nombre n est donné par la formule : Les premiers de ces nombres sont 1, 13, 55, 147, 309, 561, 923, 1415, 2057, 2869, 3871, 5083, 6525, 8217, ... (séquence suite de l'OEIS). * Arithmétique et théorie des nombres (fr)
  • Centrerat ikosaedertal är ett centrerat polyedertal som representerar en ikosaeder. Det centrerade ikosaedertalet för n ges av formeln: De första centrerade ikosaedertalen är: 1, 13, 55, 147, 309, 561, , , , , , , , , … (talföljd i OEIS) (sv)
  • The centered icosahedral numbers and cuboctahedral numbers are two different names for the same sequence of numbers, describing two different representations for these numbers as three-dimensional figurate numbers. As centered icosahedral numbers, they are centered numbers representing points arranged in the shape of a regular icosahedron. As cuboctahedral numbers, they represent points arranged in the shape of a cuboctahedron, and are a magic number for the face-centered cubic lattice. The centered icosahedral number for a specific is given by The first such numbers are (en)
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  • The centered icosahedral numbers and cuboctahedral numbers are two different names for the same sequence of numbers, describing two different representations for these numbers as three-dimensional figurate numbers. As centered icosahedral numbers, they are centered numbers representing points arranged in the shape of a regular icosahedron. As cuboctahedral numbers, they represent points arranged in the shape of a cuboctahedron, and are a magic number for the face-centered cubic lattice. The centered icosahedral number for a specific is given by The first such numbers are 1, 13, 55, 147, 309, 561, 923, 1415, 2057, 2869, 3871, 5083, 6525, 8217, ... (sequence in the OEIS). (en)
  • Un nombre icosaédrique centré est nombre figuré polyédrique centré qui représente un icosaèdre. Le nombre icosaédrique centré pour un certain nombre n est donné par la formule : Les premiers de ces nombres sont 1, 13, 55, 147, 309, 561, 923, 1415, 2057, 2869, 3871, 5083, 6525, 8217, ... (séquence suite de l'OEIS). * Arithmétique et théorie des nombres (fr)
  • Centrerat ikosaedertal är ett centrerat polyedertal som representerar en ikosaeder. Det centrerade ikosaedertalet för n ges av formeln: De första centrerade ikosaedertalen är: 1, 13, 55, 147, 309, 561, , , , , , , , , … (talföljd i OEIS) (sv)
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OEIS
  • A005902 (en)
OEIS name
  • Centered icosahedral (en)
parentsequence
  • Polyhedral numbers (en)
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