OFFSET
0,2
FORMULA
a(n)=A185962(2n,n); a(n)=sum{i=0..2n+2, C(2n+2,i)*sum{C(n+j,j)*C(j,n-i-j)*(-1)^(n-j)}}.
Conjecture: 15*n*(n-1)*a(n) +10*(2*n-1)*(n-1)*a(n-1) +(109*n^2-263*n+180)*a(n-2) +4*(-2*n^2-10*n+57)*a(n-3) +60*(n-4)^2*a(n-4) -6*(2*n-7)*(n-5)*a(n-5)=0. - R. J. Mathar, Dec 03 2014
Conjecture: 3*n*(n-1)*(57*n-136)*a(n) +(n-1)*(171*n^2-415*n+14)*a(n-1) +2*(532*n^3-2281*n^2+2755*n-840)*a(n-2) -2*(n-3)*(304*n^2-835*n+216)*a(n-3) +2*(19*n-5)*(n-4)*(2*n-5)*a(n-4)=0. - R. J. Mathar, Dec 03 2014
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Paul Barry, Feb 07 2011
STATUS
approved