OFFSET
0,2
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Michael De Vlieger, Table of n, a(n) for n = 0..10000
G. Kreweras and H. Niederhausen, Solution of an enumerative problem connected with lattice paths, European J. Combin., 2 (1981), 55-60.
Feihu Liu, Guoce Xin, and Chen Zhang, Ehrhart Polynomials of Order Polytopes: Interpreting Combinatorial Sequences on the OEIS, arXiv:2412.18744 [math.CO], 2024. See p. 9.
FORMULA
G.f.: (1+x)(1 +19 x +56 x^2 +19 x^3 + x^4 ) / (1-x)^10.
a(n) = (n+1)*(n+2)^2*(n+3)^2*(n+4)*(2*n+3)*(2*n+5)*(2*n+7)/15120. - Peter Bala, Oct 11 2011
MATHEMATICA
CoefficientList[Series[(1 + x) (1 + 19 x + 56 x^2 + 19 x^3 + x^4)/(1 - x)^10, {x, 0, 27}], x] (* Michael De Vlieger, Jan 07 2025 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved