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A100165
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Structured rhombic triacontahedral numbers (vertex structure 7).
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3
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1, 32, 147, 400, 845, 1536, 2527, 3872, 5625, 7840, 10571, 13872, 17797, 22400, 27735, 33856, 40817, 48672, 57475, 67280, 78141, 90112, 103247, 117600, 133225, 150176, 168507, 188272, 209525, 232320, 256711, 282752
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Also structured pentakis dodecahedral numbers (vertex structure 7) (Cf. A100173 = alternate vertex).
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 1..5000
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FORMULA
| a(n)=(1/6)*(54*n^3-72*n^2+24*n) = n*(3*n-2)^2 .
Contribution from Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Sep 08 2009: (Start)
a(n)=(3*(n-1)+1)^2*(3*(n-1)+3)/3
G.f.:x*(1+28*x+25*x^2)/(1-x)^4 (End)
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PROG
| (MAGMA) [(1/6)*(54*n^3-72*n^2+24*n): n in [1..40]]; // Vincenzo Librandi, Jul 26 2011
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CROSSREFS
| Cf. A100164 = alternate vertex; A100145 for more on structured numbers.
Sequence in context: A188839 A188702 A097199 * A100173 A100172 A203557
Adjacent sequences: A100162 A100163 A100164 * A100166 A100167 A100168
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KEYWORD
| easy,nonn
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AUTHOR
| James A. Record (james.record(AT)gmail.com). Nov 07, 2004.
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