A100163 Structured disdyakis dodecahedral numbers (vertex structure 5).

1, 26, 119, 324, 685, 1246, 2051, 3144, 4569, 6370, 8591, 11276, 14469, 18214, 22555, 27536, 33201, 39594, 46759, 54740, 63581, 73326, 84019, 95704, 108425, 122226, 137151, 153244, 170549, 189110, 208971, 230176

Offset: 1

Author

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

Keywords

• nonn
• easy

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).

Crossrefs

Cf. A100161, A100162 = alternate vertices; A100145 for more on structured polyhedral numbers.

Programs

Magma

[(1/6)*(44*n^3-60*n^2+22*n): n in [1..40]]; // Vincenzo Librandi, Jul 25 2011

Formula

a(n) = (1/6)*(44*n^3 - 60*n^2 + 22*n).

G.f.: x*(1 + 22*x + 21*x^2)/(1-x)^4. - Colin Barker, Jan 19 2012