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A100166
Structured deltoidal hexacontahedral numbers (vertex structure 9).
3
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
OFFSET
1,2
FORMULA
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
MATHEMATICA
LinearRecurrence[{4, -6, 4, -1}, {1, 62, 295, 812}, 40] (* Harvey P. Dale, Nov 15 2022 *)
PROG
(Magma) [(1/6)*(112*n^3-156*n^2+50*n): n in [1..40]]; // Vincenzo Librandi, Jul 26 2011
CROSSREFS
Cf. A100158, A100159 = alternate vertices; A100145 for more on structured numbers.
Sequence in context: A158067 A045220 A100158 * A100159 A100160 A223072
KEYWORD
nonn,easy
AUTHOR
James A. Record (james.record(AT)gmail.com), Nov 07 2004
STATUS
approved