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A099196
a(n) = n*(2*n^8 + 84*n^6 + 798*n^4 + 1636*n^2 + 315)/2835.
13
0, 1, 18, 163, 996, 4645, 17718, 57799, 166344, 432073, 1030490, 2286955, 4772780, 9446125, 17852030, 32398735, 56730512, 96220561, 158611106, 254831667, 400030580, 614859189, 927052742, 1373356887, 2001853784, 2874747225, 4071671786, 5693596923, 7867403068, 10751213181
OFFSET
0,3
REFERENCES
Elena Deza and Michel Marie Deza, Figurate numbers, World Scientific Publishing (2012), page 201.
LINKS
Hyun Kwang Kim, On Regular Polytope Numbers, Proc. Amer. Math. Soc., 131 (2003), 65-75.
Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
FORMULA
G.f.: x*(1+x)^8/(1-x)^10. - Colin Barker, May 01 2012
a(n) = 18*a(n-1)/(n-1) + a(n-2) for n > 1. - Seiichi Manyama, Jun 06 2018
MATHEMATICA
A099196[n_] := n*(2*n^8 + 84*n^6 + 798*n^4 + 1636*n^2 + 315)/2835;
Array[A099196, 30, 0] (* Paolo Xausa, May 07 2026 *)
PROG
(PARI) concat(0, Vec(x*(1+x)^8/(1-x)^10 + O(x^40))) \\ Michel Marcus, Dec 14 2015
CROSSREFS
Similar sequences: A005900 (m=3), A014820(n-1) (m=4), A069038 (m=5), A069039 (m=6), A099193 (m=7), A099195 (m=8), A099197 (m=10).
Cf. A000332.
Sequence in context: A271899 A128797 A008418 * A041618 A055915 A208827
KEYWORD
easy,nonn
AUTHOR
Jonathan Vos Post, Nov 16 2004
EXTENSIONS
More terms from Michel Marcus, Dec 14 2015
STATUS
approved