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A100154
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Structured truncated icosahedral numbers.
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3
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1, 60, 282, 772, 1635, 2976, 4900, 7512, 10917, 15220, 20526, 26940, 34567, 43512, 53880, 65776, 79305, 94572, 111682, 130740, 151851, 175120, 200652, 228552, 258925, 291876, 327510, 365932, 407247, 451560, 498976, 549600
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = (1/2)*n*(35*n^2 - 47*n + 14).
G.f.: x*(1 + 56*x + 48*x^2)/(1-x)^4. - Colin Barker, Feb 12 2012
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PROG
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(Magma) [(1/6)*(105*n^3-141*n^2+42*n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011
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CROSSREFS
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Cf. A100153, A100155 for adjacent structured Archimedean solids; A100145 for more on structured polyhedral numbers.
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KEYWORD
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easy,nonn
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AUTHOR
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James A. Record (james.record(AT)gmail.com), Nov 07 2004
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STATUS
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approved
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