A100166 Structured deltoidal hexacontahedral numbers (vertex structure 9).

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

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

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

Adjacent sequences: A100163 A100164 A100165 * A100167 A100168 A100169

Keyword

nonn,easy

Author

James A. Record (james.record(AT)gmail.com), Nov 07 2004

Status

approved