OFFSET
0,2
FORMULA
G.f.: ((1-14*x+x^2)^(1/2)*(x+1)^2*hypergeom([-1/2, 3/2],[1],-16*x/(1-14*x+x^2))-x^3-7*x^2-7*x-1)/(4*x^2). - Mark van Hoeij, Nov 11 2022
MAPLE
PROG
(Python)
from math import comb
def A358118(n): return sum((-1 if j&1 else 1)*comb((n<<1)-j, j)*(comb(n-j+1<<1, n-j+1)//(n-j+2))**2 for j in range(n+1)) # Chai Wah Wu, Nov 11 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Peter Luschny, Nov 11 2022
STATUS
approved