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A100147
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Structured icosidodecahedral numbers.
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6
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1, 30, 135, 364, 765, 1386, 2275, 3480, 5049, 7030, 9471, 12420, 15925, 20034, 24795, 30256, 36465, 43470, 51319, 60060, 69741, 80410, 92115, 104904, 118825, 133926, 150255, 167860, 186789, 207090, 228811, 252000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Equals row sums of triangle A143254 & binomial transform of [1, 29, 76, 48, 0, 0, 0,...]. [From Gary W. Adamson, Aug 02 2008]
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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)*(48*n^3-60*n^2+18*n)
a(n) = A079588(n-1) = n*(2*n-1)*(4*n-3). [From R. J. Mathar, Sep 02 2008]
a(n) = (1+(n-1))*(1+2*(n-1))*(1+4*(n-1)); g.f.: x*(1+26*x+21*x^2)/(1-x)^4. [Jaume Oliver Lafont, Sep 08 2009]
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PROG
| (MAGMA) [(1+(n-1))*(1+2*(n-1))*(1+4*(n-1)): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011
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CROSSREFS
| Cf. A100146, A100148 for adjacent structured Archimedean solids; and A100145 for more on structured polyhedral numbers.
Sequence in context: A165021 A044362 A044743 * A079588 A117750 A158462
Adjacent sequences: A100144 A100145 A100146 * A100148 A100149 A100150
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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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