login
a(n) = (n^2)*(2*n^8+120*n^6+1806*n^4+7180*n^2+5067)/14175.
11

%I #40 Jun 09 2023 11:03:51

%S 0,1,20,201,1360,7001,29364,104881,329024,927441,2390004,5707449,

%T 12767184,26986089,54284244,104535009,193664256,346615329,601446996,

%U 1014889769,1669752016,2684641785,4226553716,6526963345,9902174016,14778775025,21725194036,31490462745

%N a(n) = (n^2)*(2*n^8+120*n^6+1806*n^4+7180*n^2+5067)/14175.

%H Seiichi Manyama, <a href="/A099197/b099197.txt">Table of n, a(n) for n = 0..10000</a> (terms 0..1000 from T. D. Noe)

%H Hyun Kwang Kim, <a href="http://dx.doi.org/10.1090/S0002-9939-02-06710-2">On Regular Polytope Numbers</a>, Proc. Amer. Math. Soc., 131 (2003), 65-75.

%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

%F a(n) = (n^2)*(2*n^8+120*n^6+1806*n^4+7180*n^2+5067)/14175.

%o (PARI) a(n)=n^2*(2*n^8+120*n^6+1806*n^4+7180*n^2+5067)/14175 \\ _Charles R Greathouse IV_, Oct 16 2015

%Y Similar sequences: A005900 (m=3), A014820(n-1) (m=4), A069038 (m=5), A069039 (m=6), A099193 (m=7), A099195 (m=8), A099196 (m=9).

%Y Cf. A000332.

%K easy,nonn

%O 0,3

%A _Jonathan Vos Post_, Nov 16 2004