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A100148
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Structured small rhombicosidodecahedral numbers.
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3
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1, 60, 285, 784, 1665, 3036, 5005, 7680, 11169, 15580, 21021, 27600, 35425, 44604, 55245, 67456, 81345, 97020, 114589, 134160, 155841, 179740, 205965, 234624, 265825, 299676, 336285, 375760, 418209, 463740, 512461, 564480
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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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)*(108*n^3-150*n^2+48*n)
a(1)=1, a(2)=60, a(3)=285, a(4)=784, a(n)=4*a(n-1)-6*a(n-2)+4*a(n-3)- a(n-4) [From Harvey P. Dale, Oct 10 2011]
G.f.: (x*(x*(51*x+56)+1))/(x-1)^4 [From Harvey P. Dale, Oct 10 2011]
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MATHEMATICA
| Table[(108n^3-150n^2+48n)/6, {n, 40}] (* or *) LinearRecurrence[ {4, -6, 4, -1}, {1, 60, 285, 784}, 40](* From Harvey P. Dale, Oct 10 2011 *)
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PROG
| (MAGMA) [(1/6)*(108*n^3-150*n^2+48*n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011
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CROSSREFS
| Cf. A100147, A100149 for adjacent structured Archimedean solids; and A100145 for more on structured polyhedral numbers.
Sequence in context: A059461 A160917 A100154 * A100151 A179811 A146750
Adjacent sequences: A100145 A100146 A100147 * A100149 A100150 A100151
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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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