A099197 a(n) = (n^2)*(2*n^8+120*n^6+1806*n^4+7180*n^2+5067)/14175.

0, 1, 20, 201, 1360, 7001, 29364, 104881, 329024, 927441, 2390004, 5707449, 12767184, 26986089, 54284244, 104535009, 193664256, 346615329, 601446996, 1014889769, 1669752016, 2684641785, 4226553716, 6526963345, 9902174016, 14778775025, 21725194036, 31490462745

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000 (terms 0..1000 from T. D. Noe)

Hyun Kwang Kim, On Regular Polytope Numbers, Proc. Amer. Math. Soc., 131 (2003), 65-75.

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Formula

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

Prog

(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

Crossrefs

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).

Cf. A000332.

Sequence in context: A120796 A120787 A223753 * A041766 A121088 A302838

Adjacent sequences: A099194 A099195 A099196 * A099198 A099199 A099200

Keyword

easy,nonn

Author

Jonathan Vos Post, Nov 16 2004

Status

approved