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A100166
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Structured deltoidal hexacontahedral numbers (vertex structure 9).
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3
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1, 62, 295, 812, 1725, 3146, 5187, 7960, 11577, 16150, 21791, 28612, 36725, 46242, 57275, 69936, 84337, 100590, 118807, 139100, 161581, 186362, 213555, 243272, 275625, 310726, 348687, 389620, 433637, 480850, 531371, 585312
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OFFSET
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1,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..5000
Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).
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FORMULA
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a(n) = (1/6)*(112*n^3 - 156*n^2 + 50*n).
G.f.: x*(1 + 58*x + 53*x^2)/(1-x)^4. - Colin Barker, Jan 19 2012
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MATHEMATICA
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LinearRecurrence[{4, -6, 4, -1}, {1, 62, 295, 812}, 40] (* Harvey P. Dale, Nov 15 2022 *)
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PROG
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(Magma) [(1/6)*(112*n^3-156*n^2+50*n): n in [1..40]]; // Vincenzo Librandi, Jul 26 2011
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CROSSREFS
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Cf. A100158, A100159 = alternate vertices; A100145 for more on structured numbers.
Sequence in context: A158067 A045220 A100158 * A100159 A100160 A223072
Adjacent sequences: A100163 A100164 A100165 * A100167 A100168 A100169
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KEYWORD
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nonn,easy
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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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