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Search: id:A100147
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| A100147 |
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Structured icosidodecahedral numbers. |
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+0
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; listen)
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OFFSET
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1,2
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COMMENT
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Equals row sums of triangle A143254 & binomial transform of [1, 29, 76, 48, 0, 0, 0,...]. [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 02 2008]
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FORMULA
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a(n)=(1/6)*(48*n^3-60*n^2+18*n)
a(n) = A079588(n-1) = n(2n-1)(4n-3). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 02 2008]
Contribution from Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Sep 08 2009: (Start)
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 (End)
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CROSSREFS
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Cf. A100146, A100148 for adjacent structured Archimedean solids; and A100145 for more on structured polyhedral numbers.
Sequence in context: A165021 A044362 A044743 this_sequence A079588 A117750 A158462
Adjacent sequences: A100144 A100145 A100146 this_sequence A100148 A100149 A100150
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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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